My H was similar. He brought a lot of his stuff to the apartment, but kept clothes here. At one point I asked him to take all of his things from the closet, to which he replied, "Well, when I stay at the house, what do I do?" Me: "The same as I do when I stay at the apartment; pack a bag." I told him that I needed to set some kind of boundaries in this weird sitch we have and that was that the bedroom not constantly remind me of him and his absence. He understood.
If he can do laundry at his Mom's, then he's coming by to keep a connection and/or accidentally run into you guys. No question.
Me: 42/H: 37 T: 10 years/M: 8 D9, S8 Bomb: 7.23.07 Separated: 1.20.08 D Final 3.19.09 Affair started in '05, found out parts in 11/07. They married 11.26.09