New relationship

I started to date a guy who is divorce( has been divorced for 4years) he has 4 children and of course an ex. We have been dating for aproximately 6 months steady. We go on trips together, have romantic dinners and enjoy watching sports games together. I'm a little confused becsuse now the ex isnasking him to get back together that she wants to be a family again. She conveys to his children to ask him to come back home so they can be a family again. He tells me he has no intrest on going back. But yet anytime she drops off the kids she wants to hang around, so he tells me that he feels bad because the kids are asking him if the mom can go with them. I told him that he needs to be upfront with the kids and tell them that its over between them and he says he will, its just that this is also new to them. I don't know what to do. He also tells me that he deals with her hanging around because it makes hes kids happy and thats all that matters to him. Hey also told me that he has no frelings for her because he could of gone back if he wanted to. Should i believe that thats all thats there? Do I hang in there?

'M sorry you aare going through this. I think we (women) often read too much into things and dont believe our partners when it comes to theirs ex. He needs to know that this is making you uncomfortable.

I did tell him that I feel uncomfortable but he said that their is nothing to worry about. I know he loves his kids so much but I just don't want to push him away. I also want him to feel that I can trust him. That is what he tells me all the time.