My cat (3) My cat (3)

注意:我在括号前添加了一个空格。

A week later, Bao finally no longer onlyjust stayed in the corner of my house and was willing to explore the surrounding environments. A week later, Bao no longer just stayed in the corner of my house and was willing to explore the surroundings.

for better flow

AFinally, a week later, Bao finally no longer only stayed in the corner of my house and was willing to explore the surrounding environment. Finally, a week later, Bao no longer only stayed in the corner of my house and was willing to explore the surrounding environment.

Word order changed to improve sentence readability.

A week later, Bao finally no longer only stayedstopped staying only in the corner of my house and was willing to explore the surrounding environment. A week later, Bao finally stopped staying only in the corner of my house and was willing to explore the surrounding environment.

Just changing it to sound more natural, your version was clear too.

A week later, Bao finally no longer only stayed inat the corner of my house and wasbecame willing to explore the surrounding environment. A week later, Bao finally no longer only stayed at the corner of my house and became willing to explore the surrounding environment.

A week later, Bao finally no longer only stayedIt's been about a week, and Bao no longer hides in the corner of my house and was. He is now willing to explore the(his surrounding environments) more. It's been about a week, and Bao no longer hides in the corner of my house. He is now willing to explore (his surroundings) more.

"Surroundings" is not necessary here, but you can add it if you would like. Both sound natural. "Surrounding environment" sounds a little too redundant in this specific case, especially since this is a casual writing assignment and not very formal.

Even though he still had nodidn't allowed me to touch him, but ifhe would come to me I gave him some hairball relief paste he would love to come to me. Even though he still didn't allow me to touch him, he would come to me I gave him some hairball relief paste

Even though he still had not allowed me to touch him, but if I gave him some hairball relief paste, he would love to come to me. Even though he still had not allowed me to touch him, if I gave him some hairball relief paste, he would love to come to me.

Keeping "even though" and "but" is a double conjunction. We only need one to introduce contrast.

Even thoughDespite that he still had not allowed me to touch him, but if I gave him some hairball relief paste he would love to come to me. Despite that he still had not allowed me to touch him, but if I gave him some hairball relief paste he would love to come to me.

Even though he still hawould not allowed me to touch him, but if I gave him some hairball relief paste he would love to come to me eagerly. Even though he still would not allow me to touch him, but if I gave him some hairball relief paste he would come to me eagerly.

Even though he still had nodoesn't allowed me to touch him, but if I gaive him some hairball relief paste, he would love toill come to me. Even though he still doesn't allow me to touch him, if I give him some hairball relief paste, he will come to me.

The 虽然/但 structure in English excludes the "but". "Although we've been friends for years, she never calls me anymore" "Even though I had an entire chocolate cake for lunch, I still feel hungry."

Every time someone pastsed by him, he still got nervous, excapingand immediately hid back to the corner. Every time someone passed by him, he still got nervous, and immediately hid back to the corner.

passed is the correct past tense

Every time someone pastsed by him, he still got nervous, exscaping back to the corner. Every time someone passed by him, he still got nervous, escaping back to the corner.

- Correct verb form is "passed" - Correct spelling is "escaping"

Every time someone pastsed by him, he still got nervous, exscaping back to the corner. Every time someone passed by him, he still got nervous, escaping back to the corner.

Every time someone pastsed by him, he still got nervous, exscaping back to thea corner. Every time someone passed by him, he still got nervous, escaping back to a corner.

Every time someone pastses by him, he still gotets nervous, excaping and runs back to the corner. Every time someone passes by him, he still gets nervous and runs back to the corner.

passes by is okay here, but "gets near" is a bit more common phrasing "escapes back to the corner" sounds okay, but "runs" sounds more natural

In the mMeanwhile, I was trydoing my best to learn more knowledge about cats and coming to his world step by step. Meanwhile, I was doing my best to learn more knowledge about cats and coming to his world step by step.

in the meanwhile is a little awkward. don't forget the comma.

In the meanwhiletime, I was trying my best to learn more knowledge about cats and becoming topart of his world step by step. In the meantime, I was trying my best to learn more about cats and becoming part of his world step by step.

- In the meantime is more commonly used. - "To learn" implies gaining knowledge, so we can leave it on its own. - I apologise that I am unable to give much helpful feedback for the final change, "coming to his world". It just sounds more natural.

In the meanwhile I was trying my best to learn more knowledge about cats and coming (?) to his world step by step. In the meanwhile I was trying my best to learn more about cats and coming (?) to his world step by step.

Not quite sure what you mean by coming here.

InAt the meanwhilesame time, I was trying my best to learn moreexpand my knowledge about cats and coming to his world step by step. At the same time, I was trying my best to expand my knowledge about cats step by step.

In the meanwhile I was trytime, I have been doing my best to learn more (knowledge) about cats and coming to his world step by stepin order to slowly gain his trust. In the meantime, I have been doing my best to learn more (knowledge) about cats in order to slowly gain his trust.

Learning knowledge sounds a little redundant, so "knowledge" is an optional word. We also have the phrase "stepping into someone's world" in English, but it doesn't fit the context here. It is probably better to just say the result of what would be "stepping into the cat's world", which would be gaining his trust.