Why won’t he give her closure?

So my man’s ex wanted him to give her closure and he won’t do it. He doesn’t contact her first but she sent him a happy birthday and he said thank you and then she said that she wanted to talk so she can move on. She even said that she wants me there. Does he still have feelings for her?

UPDATE: He says that they used to be best friends and that she caught feelings for him. She even lied about being pregnant.

They use to live together and his family hates her. I just get this weird feeling that he’s not being totally honest. I know he was just helping her out but he had to be doing something for her to feel like they were in a real relationship.

I know you guys are saying he doesn’t owe her anything but why won’t he do it JUST SO SHE CAN LEAVE US ALONE , why drag it tf out ? I feel like he was a totally different person with her , like he was a bad person to her and he’s trying to keep it hidden.