My husband live with me but I just find out that he is renting another apartment around the same area. I have conditional green

Does this kind of life have any affect on you? I am afraid this is the question you should be concerned with. The way to go on your I751 is the case should be discussed with an immigration lawyer who after review of the situation as a whole should be able to guide you.

It will affect your application if you are not living together and will create issues if USCIS finds this address under his name. You need an Attorney before filing application.

No one could guess the though process of your spouse whether he would be willing to sign the necessary I-751 Petition or not. Also, no one knows for what purpose your spouse rents out the other apartment (work shop, reading, spiritual or physical practices?), however, if you are living in a bona fide marriage, you should have no problem in removing the condition.

If he won't sign, then you'll probably need to divorce him to successfully remove the conditions. Talk to a lawyer, many of us use Skype.