Bf said not in touch with ex gf. found convo they had. He said in it he is lonely and gets no A*S*S.wot 2 do?

my bf and i have a long distance relationship. finally after him being after me for 5 years confessing his undying love online and on phone i accepted him. he has a past (not a virgin) i am a virgin. he told me he is not in touch with his x. found a convo he had with his ex abt how he complains abt how he gets no love and no a*S*S and feels lonely. He also said that he is waiting for happiness or heartbreak. then he made his ex say how cute me and him luk together. she said yeh u guys look real nice 2gether. he visits me every month and is the sweetest thing ever. often talks abt marriage..his fam knows abt me. he also told his ex me and him have an open relationship and he doesn't knwo what im upto most of the times. he also said he wants to take advantage of an open relationship but he can't (mind u we dont have an open relat) WHt to do? BREAK UP? or NO?