well, You did the right thing!! having sex with him you cant let him cake eat!! really your giving him his dream (sex from two women) and you both know about the other one!
hate to say it but cut off the sex! (YOU ARE NOT TRYING TO WIN HIM BACK WITH OW IN THE PICTURE)
as for the house he might be seeing it several ways IDK I know my WAW has this really big problem not doing the exchanges here for some reason she thinks she has to come here.. and last week when she dropped the kids off she was in the driveway and was happy for some reason when i opened the garage door to let the kids in the house.. (Memories of better times??) my point is there are prob lots of reasons and a MLC WAS is so confused I doubt they even know.. its just something they feel