Smudge marks???
If they are grease marks you can use a warm water a soft cloth like a t-shirt and little dish washing liquid. Gentley wipe the area only stroking down or up--- NEVER SIDE TO SIDE---. Have a dry cloth ready if you drip water down the screen. Now if those are scuff marks, your done, they cannot be removed. They are like the old record albums with the grooves, once the grooves get distorted that's it. Good luck.
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