Re: 7 or more players?
I have played with seven players (never more, I don't think, because at that point you can have two four-player games instead). With a single set, you run through the decks quickly. With expansions, it's less unwieldy.
One problem is simply that it's a long time around the table. Even if every player's turn takes three minutes, that's almost 20 minutes before it's your turn again. Sure, there are things you can do when it's not your turn, but realistically you're going to be waiting for a while.
Another problem is that, with six people trying to stop you from winning the game, it's far more likely that the first several attempts to go for the win will be frustrated -- which, again, makes the game longer.
It's not that it's unworkable, but it's not what I would call a fun experience.
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