I am looking for a phrase that would indicate that teens, despite their longing to be seen as sui generis, are indeed unique, but that they are all so unique, that that uniqueness becomes commonplace, and therefore not special anymore.
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Use one of the terms meaning "unique" along with the word "ubiquitous". For example: "ubiquitously distinct"
"Teens are such ubiquitously distinct individuals that their uniqueness often gets lost in their commonplace status."