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At some level - KK on AQX board and KQ on AQX X board - are similar. They are both 2nd pair. KQ has more outs against AX, but less against AQ/AK. KK is way more hidden. That probably matters a little, because if villian has a Q and puts you OFF the A (for whatever crazy reason), he will likely make a move with a worse hand (of course, for you to capitalize, you have to put HIM off the ace... or just not care).
I think KQ is way easier to lay down here... but probably that's wrong. KK is just hard to lay down because it's, well, KK.
I bet Poker Stove shows them almost equal - so to a first approximation you should play them the same, as long as you played them them same preflop - which in this case, you would have since you open raised 3x.
The big difference is that pre-flop, if someone is in the pot first you raise much more, and much more often with KK than KQ (barring short stacks/short handed play)
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