Depending on the material being cut there are might be ways. If the weight densities of the abrasive and the material differ enough we can try simple density separation. If the abrasive isn't magnetic while the material is, we can use magnets to do the same. In both cases, the big question would be how much impurities in the abrasive can the machine tolerate. If machine is somewhat tolerant, and impurities do not threaten its mechanisms, these simple methods can be economical for small businesses working with specific materials.