["I don't know why my boyfriend lied to me about seeing another woman. I thought he loved me.", "Do you think it's possible that he does still love you and also made a horrible mistake?", "I'm not sure, but I'm hoping that he will realize he's messed up."]
I think that when people cheat and lie, it's because something is wrong with them and not their partner.  If he doesn't realize his mistake, then he doesn't deserve your love.  I wish you all the best!
I really believed my boyfriend when he told me that he loved me.