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شاید فراموشت کردم
درست‌تره. البته اگه منظور اینه که من تو را فراموش کردم

شاید فراموشت شدم هم برای وقتیه که یه نفر تو رو فراموش کرده

First of all the second sentence is incorrect to use ,and the first means i mayforget u andthesecond means u msy fotget me that u shou say سايد فراموشم كني

1. May I forget you
2. May I have become forgotten by you.

I'm Muslim

Hello
The 1st statement means that maybe I forgot you.
but the 2nd means that maybe you forgot me.

The second one is not correct...instead you should say "شاید تو من را فراموش کردی"
The first one on the other hand means "maybe I forgot you" it can also mean "maybe I forget you" sometimes it shows a desire even for example if you are willing to forget someone you can use it and it means "maybe I can forget you"
Depends really on the situation you use it.
The same about the first one

The first one means "i'll forget you" but the second one is not true in the way we speak in iran. we say"شايد تو مرا فراموش كردي"