hi and welcome to sr

I'm sorry you hurting because of someone else. If you read here there are some really wise words you can use to get yourself in shape.
Lying is all apart of the addiction, it's not just your husband, maybe one day when he decides to get sober the lies will stop and you can start your trust again. But the best thing you can do is take care of yourself, it can be draining on the body and mind and you need to be strong

good luck