Window marks
Like others have said, it's believed to be from that window strip that runs along the outside of the bottom of the window on top of the door. I replaced mine but the scratches still haunt me to this day. I am going to try to get rid of them this spring with some buffing and compound, but am doubtful it will work. Most f-bodies I've seen are plagued with this, ahhhhhhh

replacing the indow isnt actually that hard, all you have to do is loosen the regulator and wiggle the window off the tracks at the top.
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If you can feel little grooves with your fingernail then you have sand or some type of grit in the felt on the inside of that strip. Try blowing it out with an air compressor but there's really no way to remove the scratches
Or
if you can't feel scratches but you have a large discolored area, then the felt on the inside of that strip has worn off and the bare rubber has 'polished' that part of your window. Kinda like how whenever your windshield gets a light mist or sprinkle on it, you can see the entire swept area where your wipers wipe...same thing
I manage a glass shop btw and I'd guess 80% of our revenue is automotive... so I get asked that almost weekly
we use a product called 'Bio-Clean' from a company named C.R. Lawrence. Its mostly used on the inside of glass shower doors for removing just enough of the roughness of the glass to keep soap scum from having something to hang onto. Its extremely thin and you cannot even feel any type of abrasive compound to it. We put it on super thick, let it fog over (like automotive wax), and buff it off with microfiber towels. a super-soft buff pad should work just as well
I've used it on windshields for taking off tree sap and it works... but the few times I've used it to buff the 'unswept' area of a windshield where the wipers dont reach, frankly, I couldnt see or feel a difference. The vehicle owners have said they could fwiw. If I could describe it, its comparable to an application of rain-x
any commercial glass shop should be able to sell you a bottle... however, it may take several applications before your window is completely smooth
I havent tried the 0000 steel wool, and not no knock spikester's post but I have seen a handful of people that tried it and then brought their car to me to fix and I never could remove the 'haze' that was left


