Maybe try methylated spirit as a test in one spot but go easy on it. I’d just leave it as it is I think. Or use a paint pen to put them back! While at first I hated it, I kind of got used to the white lines as odd as that may seem to many others!
Another vote for painting the track... but I'd go with a neutral gray color in a matte indoor latex/emulsion. If you want stripes for some odd reason, paint them on after the gray. Then you'll have a track that looks more realistic. Even a brand new tarmac race track doesn't stay black for long.
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