I posted in the King-Queen thread my personal play for that;so here I will show how I go about approaching Queen-Jack

Early position:I limp ONLY if suited.Offsuit I can't even hit the fold button fast enough;you can lose so much money limping with Queen-Jack offsuit.

Midposition:If offsuit I limp provided there are at LEAST 2 other callers(although I prefer 3).My favorite is limping with it suited when there are already 2-3 callers.

Late position:I still limp with it suited.Offsuit I limp if first in as well.For all cases if raised behind me I call if there is at least one other caller(again I prefer 2-3 callers to increase my pot odds).

On the flop(esp if it was raised) I continue playing only if I hit my straight/flush draw,and I play it aggressively when I do to either A)induce a fold or B)again increase my pot odds.

.Hitting either pair isn't really worth it in the long run because inevitably somone sucks out with their garbage King-x/Ace-x off crap cards.