to be honest you will be hard pushed to remove them by hand. to get good correction ideally you need a machine polisher like a Porter Cable or Megs Orbital if your a beginner or a rotary if youve had experience before.
a good claying after washing will help remove any hidden crap
you can then try some Poorboys SSR's which with a good applicator may get some results but there will still be traces left. They come in various numbers( ie SSR1) to go with the state of the marks, number 1 being the kindest.
also i have heard that Autoglym Super Resin polish has quite a lot of 'fillers' in it to help mask swirls and improve the visuals.
you may be able to add a Glaze before the final polish to help mask they more but as said, machining is the only way ultimately.
hope that helps
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