Coordinated turns without rudder, and autopilots

Paul kgyy writes:

As Maxwell observes, this may just be a simulator limitation. In
actuality, a small amount of rudder should be applied when initiating
and recovering from a turn, but once in a constant bank turn, the
aircraft will normally be in coordinated flight without rudder
application.

But the autopilot has no control over the rudder, and yet the turn is
coordinated. What is it doing to make this possible?