A --> X . . . Y --> B
Using this there is no way to tell that A is connected to B.
A --> X . . . Y --> B
Using this there is no way to tell that A is connected to B.
For example, suppose your standard of living suddenly improves and you start buying cool expensive toys, but you don't report increased income with the IRS. As I understand it, the IRS can audit you and ask you to prove to them where the money came from.
Similarly, if you get stopped with a large pile of "anonymous" cash in your car, you may be asked to prove that the cash was obtained legitimately, and they may hold the cash until you can prove otherwise.
If you are dealing with cash, the first is more or less done for you (though if you are dealing with counterfeit cash, you still need to worry about the first).
Mixers do the first and don't advertise themselves as services for the second. Mixers basically put you in the same position as organized crime is traditionally in before laundering, lots of cash that isn't really tied with a crime, but has no good reason to be in your possession.
So you're still just a subpoena away from it getting revealed.
As others have said though, the law could just require you to reveal to the authorities where you got your wealth from.
(In reality they would probably have many addresses and not just orchestrate simple pairs like that, but the idea is that the transactions balance out.)
So they only need to seed each address with a bit of initial capital, then balance out the transactions.