Thanks everyone!

Isabel is right, those are no-pull harnesses...I think they are called Easy Walk harness, made by Gentle Leader. It's the intention that when they pull it tightens in the front, it doesn't choke them or anything. It really doesn't stop them from pulling that much, but it makes handling two dogs by myself a little easier. Nebo's is sagging in the pics, I always tighten them before I go but they never stay as tight as they should. I bought them at Petco.