Dishonesty ~ Give him another chance?

My BF & I been dating for 2 years. He lied to me twice. I'm unsure if I should give him another chance. 1 lie was not admitting he let his ex-wife whom lives out of town stay with his teen daughter at HIS house for a few days while they looked for cars for D. He was at home with them a couple of days and was out of town the other days. That happened about 7 months ago. I got upset and thought the worst; he's sleeping w/ another girl. When I confronted him about the strange car in his driveway, he denied it at first. Then finally admitted x-w asked to stay for a few days while they searched for cars together. He says she slept in the other room with their daughter which I believe. The other lie was a few days ago, he lied about going to a strip club while out on business travel. We had an agreement we don't go to bars/clubs w/o each other. He's apologized and said he felt bad immediately. Could this be part of learning stage and make us stronger? Am I 2 sensitive?