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Re:Facebook can track your browsing even after you've logged... by ReverseCold on Tuesday July 04, 2017 @11:19AM (#14696364)
If by randomizing you mean random strings (and not from a list), then I think this is relevant:

https://xkcd.com/1105/

Re:Facebook can track your browsing even after you've logged... by sametmax on Tuesday July 04, 2017 @11:22AM (#14696380)
Randomly selected from a pool of known UA.