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Ignoring reads, playing a hand in a raised pot in Hold'em is largely based upon the Gap Theory (ie. You need a stronger hand to call a raise than you need to be the raiser). You don't really consider the "liveness" of your cards simply because the only ones you see are the ones you're dealt. If it's folded to someone in MP and they raise, they could just as easily be doing it with 10,10 as they could with AA. If you have KK you're either a huge favorite or a huge dog, but either way you're going to play it. Now if someone raises in front of you in a Stud game with (x,x)A and you have (K,7)K with two other people showing a K, you might very well fold.
In Hold’em, outside of a tournament setting, you don’t evaluate the strength of your hand in terms of how “live” your cards are. Because you cannot see any other cards, you typically assume that all your outs are live. Instead you put your opponents on a range of hands and evaluate your hand in comparison.
The fact that Hold’em is a community card game, whereas in Stud you’re playing individual hands, changes your strategic considerations. For example, in Hold’em you have the concept of “tainted” outs. A tainted out is simply a card that makes your hand but gives your opponent an even better one. Obviously this concept doesn’t apply to Stud. Similarly, the idea of “live” cards isn’t very applicable to Hold’em although there are some exceptions.
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