Can windscreens be polished?

I bought a car Monday, and today, driving towards the sun, it became apparent that the windscreen has wiper scuff marks. They only really show when the sun is head on, but the windscreen flares and it makes it hard to see. Can it be polished or do I need a new screen? Car is fourteen years old, 80k miles.

I bought the (14 yo) car from a main dealer. They said they would get their windscreen guys to give it a polish at their expense. Got a email yesterday saying none of the windscreen people they dealt with were willing to polish it, and if I got it replaced and claimed on my insurance, they would pay the excess. Took car to windscreen people who looked at it, and said it should be replaced as a safety issue, and they were happy to deal with insurance. Have booked for replacement weds pm.
Main dealer and windscreen people have both been very helpful.
Thanks to all who have answered on here, and the other windscreen thread.