legally seperated chrstians

My husband and I have been married for 28 years He has always walked out. We have three grown kids. We were married very young. He had gotten on drugs and went to rehap. When he returned, we reunited, and then a year later he left again. Now he says God sent him to another town to start a new life and leave us behind. He has met a new woman and told me about her. I am now a christian, who once backslide, but is now back full force. God has gotten my attention. When we were together; while he was on drugs, I feel into a depression because of it. He has always tried to find a new woman to get rid of me.I had expectations, and he did not want to abide by them. My question is this," Is he living in adultry now that he has moved on with his life, since we are still not divorced?