Use whatever sanding/polishing combination you're comfortable with and then use Wipe New for the final step.
I used this guide on my 328i's 120k old headlights and now they're basically new, even two years after the correction.
https://www.e90post.com/forums/showthread.php?t=1175850
https://www.e90post.com/forums/showp...1&postcount=24