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This depends on the type of ink.
Sand, or silicon oxide, is fairly inert. It does not dissolve in water. Sand is mostly the same material as glass. So it does not dissolve any faster than glass dissolves in cold water. Hydrofluoric acid is, however, another matter.
I would use the property of solubility in water; sugar is highly soluble in water and sand is highly insoluble.
The sand will fall to the bottombecause it already went through eroison. The salt will dissolve until the solution saturates.
Rubbing alcohol will not completely dissolve sand, only partially. It is slightly soluble due to rubbing alcohol containing some water.
Water and a filter would work. Pour the salt/sand into water and the salt will dissolve. Pour the mixture into a filter and the sand will be trapped in the filter. Evaporate the water and the salt will remain.