For some reason the very smooth/shiny 'plastic' between the side windows of my Audi Q5 has gotten a tremendous amount of swirls (much more so than my paint). Is there any hope of hiding/removing them by hand? I've given up hope of removing any of the swirls from the paint (and intend to have a proper detail by a pro at some point), but was wondering if there was anything I could do for this 'plastic' piece.
Here's an example of what I'm referring to (not actual pic of my car):

Here's an example of what I'm referring to (not actual pic of my car):
