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It does cite an FDA statement and federal regulations that allow polyethylene as an allowed ingredient in “gum base.” Other sources are more broad just calling it “polymers.”
But this points out that “gum base” is a very vague term that can include lots of ingredients. Which kinda sucks.
It’s also used in fiber supplements.
Are you sure your aren’t thinking of osmotic laxatives? Miralax, for example, is polyethylene glycol.
You are correct.