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Do not do it with a belt sander. You will ruin them. You need the water to cool the grinding as it happens. I had a guy bring some skis in to my old shop that he had tried to grind, and he had ruined them. We ended up having to grind half the base away and then still they were burnt somewhat.
There does become a point where a ski can not be ground any more. Most shops would refuse to grind a ski which is on its last legs. If the grinder went through the last part of base and damaged the core then the shop would be liable. I have refused to grind skis in teh past. Thre machines are thousands of dollars so they will not want to put a beat up old ski in it which may possiby damage the machine.
Sounds like its time for some new skis. Silencers were pretty terrible any way so you will enjoy a new ski so much more. The skis will have pop again and you will have some edge if you like to turn.