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i have before. done it with paulson, chipco and the cheapy racks with no problems. always put them on the top rack of the dishwasher though. EDIT - even did it with those 25 X100 acrylic boxes.
if you have a drying cycle on your dishwasher just open up the door when the wash cycle is done and dump the extra water out of the racks then shut the door back and let it go through the dry cycle.