Condoms in my bfs drawer

My boyfriend and I have been dating for 14 months and TTC for the last 6 months. I was putting away clean laundry and found a bunch of condoms in his underwear drawer, a set of 12 and a single one. We have never once used a condom. We have been exclusive since month two of our relationship. We don’t live together and are dating long distance. I confronted him and he said he forgot he even had the condoms. He said he bought them a long time ago even before his last relationship. I looked at the expiration date and it’s 2020. He got upset and acted very offended because I told him I was having a hard time believing he had just forgotten about them. He swears he’s not cheating. Is he lying to my face? His story just doesn’t make sense to me. How can he not see the condoms there every time he puts laundry away!