The oldest torrents on The Pirate Bay are turning thirteen years old, which means that they're 'teenagers' now. While it's not unprecedented for a website to be online for this long, keeping a torrent 'alive' through all these years is a rather impressive accomplishment.
A content industry dream is to order infringing content to be taken down and for it to remain down permanently, no matter what. That's currently outside the scope of the DMCA, but some anti-piracy outfits are already trying their luck by suggesting that content should never reappear. Perhaps it wouldn't be so bad if they targeted the right stuff in the first place.