Quoted:
I don't think I'd waste my time with untreated wood. Tried it a couple years ago thinking I'd get a couple years out of it. After the first season it was rotted. If you are worried about treated wood build your boxes and cover the inside of the wood with poly.
I guess I don't understand the treated wood issues. Of course I did run behind skeeter trucks my whole childhood
and still would if I could find one.
There could be a concern about using treated wood for vegetable gardens.
However, there is research out there that shows little impact of the wood on the vegetables.
University of Missouri
Aggie Horticulture (Texas A&M)
I think you will be fine, especially since they are already old.
Of course, I also use treated lumber to build tree houses, sand boxes and such for my grand kids.
Someone pointed out to me that the children could ingest these materials (chemicals).
I thought about it for a while and decided that if any of my grand kids are chewing on the wood,
natural selection probably needs to kick in anyways.