When would you consider folding this?

[666shooter]

I tend to raise this pre-flop.

I would have 3-bet the flop. No chance in hell I'm folding this.

[Runin]

I think you need to raise PF. This is going to help you later in this hand with narrowing down your opponents hand. Not sure why you didn't 3-bet the flop. Again, I'm betting out on the turn after I 3-bet the flop. This is all coming back to the PF raise for me to help identify villian's possible hands. I'm not sure I'm folding this unless villian caps every street, even then it would depend on my read of him and what hands I could put him on.

[xenthebrain]

I'd raise it preflop.

I like calling the flop and betting the turn (so stop and go), rather than c/r the turn.

If he has a worse hand he might fold to a direct 3-bet since there aren't alot of draws he could have here.

I don't consider folding an option.

[bjarne]

I would never fold this (and raise preflop).
Firstly because its not certain that you are behind.

Even if you are behind as MP1 indicates with the 3-bet, say MP1 has AK or 99 (KJ or JJ is sort of worse but the way the betting went there is no reason to believe that the J helped MP1), you still have plenty of outs to win or split pot. You could also be up against another KQ.

After the 3-bet on the turn the pot is laying you almost 10:1. Compare this to the odds that you are ahead (or tied agains another KQ) together with the odds that you can draw out makes this impossible to fold IMO.