I may have missed this, but has your husband actually been leaving his stuff out in the open? Or is it "not-very-well-hidden?"
I agree with others who have pointed out, he's trying to pressure you about your daughter because he's isolating you. I now see what I hadn't seen when I was in your position: that it's absolutely exhausting to keep the lie going, day in and day out, for years. My husband got to a point where he seemed to dislike having anybody in the house other than me. He was pretty vicious to my daughter, and I now see that she was making his situation twice as much work. He actually said, once when she came home from college over Christmas (and this is a direct quote): "Why do you even come home? Every time you come home, you ruin everything. Everything is perfect until you get here."
But one thing I think you should be aware of: if you sit your husband down for a talk, it's going to make a huge strain in the house with your daughter living there, but not knowing what's going on. I think you should plan the conversation around a time when she'll be away, at least for a weekend or something.