I don't re-use plastic meat trays, myself. Nor plastic bags that I put meat in. I think the stress of trying to make sure there is no contamination isn't worth it. But to each his own. :)
If the plastic meat trays are what I am thinking of, they are top rack safe in the dishwasher. Also plastic bags have a tendency to get wrinkles in them and it might be hard to to get all of the germs out of the creases.
My former mother-in-law used to save and reuse the bags that bread, etc. came in. She would wash and reuse them numerous times. After a few times they would get sticky and gross, and I really hated when she would send something home with us in one of these bags.
I reuse the plastic meat trays but I wash them in the dishwasher, and I don't use them for food items. I keep one in the refrigerator and keep little containers of yogurt, etc. in it. I use them for drawer organizers in dresser drawers, etc.
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