Sex addict. He needs therapy. I would not be okay at all with that. It would be grounds for divorce. Personally, not the kind of man I would be married to. The deception. The addiction. The lack of control over an addiction to the point of spending fairly significant money on it. The possible exposure of my children to it. Nope. You don't have to accept that kind of activity in your marriage. But it's going to take more than just talking about it with him to get him to change. He needs professional help.