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I have made up the sentences below.

(1a) I'm sure you'll get a job within one year of graduation.

(1b) I'm sure you'll get a job within one year of your graduation.

(2a) You may return your item within one week from the date of purchase if you are not satisfied with it.

(2b) You may return your item within one week from the date of your purchase if you are not satisfied with it.

Some of my non-native English speaking friends think it's wrong to add "your" to my sentences. My other friends think it's okay to have it there for emphasis.

What is your opinion? Thank you very much for your help.

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ansonguyWhat is your opinion?

It is redundant and unnecessary, although not ungrammatical. It is not added emphasis.

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You are right. You can add "your."

However, there is an error that occurs in both 2a and 2b. "from" should be "of." That's because you used "within." Without "within," you could use "from."

You may return your item one week from the date of purchase...

You may return your item within one week of the date...

I hope this helps you.