Should I bother trying to save this relationship?

I have been seeing a man 13 years my senior for about 7 months. He's 50, I'm 37. I'm exasperated at his behavior change since I moved in with him a month ago. First, his 4 ex-gf's, whom he has "stayed friends with" are constantly coming over. He emails them everyday and when I inquire about what he writes, he gets defensive and says "it's none of your business!" He takes off from our home without telling me that he's leaving, oftentimes with one of the exes. I'm feeling abandoned and sad. He no longer shows me any affection, says I'm wrongly mistrustful of him and it turns him off. I can't see what changed so drastically; when we got together, he would pout when I would spend too long on my iPhone, instead of giving him attention. True, I have on 1 or 2 occasions made accusations, but I also apologized after I made them. He runs from my questions and confusion by getting mad and storming away, refusing to talk to me.
Does anyone have an educated opinion or had a similar situation unfold in a relationship? What did you do?

Everyone deserves to be happy. Don't ever allow a man to make you feel like your the problem. Obviously there's tension in your relationship. If you don't see him changing his ways i would get out of that relationship. Pronto

This relationship is heading not in the right direction. Moving in together wasn't the best option as you can now truly see who he is all the time. Both of you might not be ready for it at all. I suggest you move out and try to make it work. If it doesn't, it doesn't.

For now, you should talk to him. I know he runs away from them but, just try. I know its hard… For now just show you love him so much. He will change.

From your description here. I get the feeling that he's not interested in settling down. Maybe he's done that already? Either that or he intends to remain a life-long bachelor.

You right now need to figure out what you want. Do you want a guy who keeps his options open? Or do you want a husband (or lifelong partner) to come home to? If you want the latter. The guy you're with now just isn't for you. Let him go honey and find someone who wants the same things you do!

You think it's bad now, wait a few years when his noodle goes limp, if it hasn't already. You'll be in your sexual prime looking forward to the rest of your life without sex. Let us know how that works out for you.

Figure out what you want

You need to get out of there. He obviously doesn't value you and his behaviour is unacceptable. You should be his priority, not his exes.

Do you love him for his 'values' or do you feel his love in your 'heart?'-(If you're just using him for his values, it's time to move on)-there's another guy who will make a better couple w/you.

Why would you want to save it? He clearly doesn't respect you, so move on.

Break up with him. From what you say, becoming his ex would work out better for you, no?