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Won't help them if mixers keep the logs. See my original post.
Mixers won't keep logs. That's the whole point of mixing.
Some may for a short period, but any criminal organization is more than capable of running their own mixers. They aren't that difficult to set up.
Mixers that don't keep logs, will get blacklisted, so all coins you put through them will become "untouchable" too. Provided majority of bitcoin users will really want it.