Cleaning up reviews is actually not a Yelp feature. Paid or unpaid.
It's done algorithmically by default, but there are people whose job it is to track places where the algorithms have gone wrong, and while ostensibly their latitude for independent decision is narrow it's actually pretty broad. Also that set of decisions is kept in a separate DB most programmers can't view or interact with, but which the customer support team could easily point the flaggers to.
Source: Worked there briefly.