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I've found the opposite to occur. Why would moving toward them cause me to be involved in more hands with them? Are you thinking specifically of moving to get position on the them? I think I missed an assumption or two here.

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The reason is position. Both of you will be playing more hands in late position and from the blinds, and you will more often be in late position with these players, and in the blinds when these players are in late position (or vice versa). I prefer to sit across the table from tough players, so as to reduce the probable number of pots in which we will both hold cards.