2 players behind us are irrelevant. we should have them beat by virtue of them checking the A either OTT (if acting after us) or OTR (if acting before us). the only problem is the LJ might have checked an A or better OTT because:
1) if they have an A, they may just check/call
2) if they have better than an A, they would check to the raiser, since it hits our range better than theirs.
once you don't bet the A, it's a pretty good indication you do not have an A, and since you checked the flop, you don't have KK, so you are really capped at KQ, which is the hand you actually have. if you think V value cuts/bluffs 36% of the time here, it's a call.
a perceptive V should be doing this with any A though to merge which makes it all that more complicated. in game i probably fold because it doesn't sound like you have a ton of info on V