| Many abrasive products recommended here Toothpaste is the least abrasive and if headlight not too bad MAY do the trick Thereafter things like  duraglit, brasso or rubbing compound MAY do the trick (with elbow grease) - try a sample area on the headlight unit If really bad then it's 1000 grit sandpaper followed by 2000 grit followed by 3000 grit possibly followed by rubbing compound     HOWEVER after any of the abrasive solutions above - finish with a layer of  proper car wax  (and thereafter after every wash) as any remaining UV protection (if any!) will have been stripped off and the headlight unit will have lots of fine "scratches" 
                                Edited by Big John on 31/05/2017 at 22:43
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