They did not see depictions of their reflections in the mirror - they saw their own reflections. Forget depictions.
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Aspara GusYes, depictions is unnecessary. I would forget own as well, but that's just me. While looking into the mirror, they saw their reflections.Whose reflections? Depending on context, they could be anyone's. You need the "own" to define whose reflections the author is referring to.
BillJYou need the "own" to define whose reflections the author is referring to.Please.
AskAndAnswerThey saw their reflection's sharpnessPerhaps they commented on, or were surprised by the sharpness of their reflections, but I don't think we'd normally see this sharpness. If you really wanted to use an apostrophe rather than of, reflections' is more likely, in my opinion. Each person sees two reflections, one of him/herself
Aspara GusThe only sensible antecedent of their is of course they, and anyone adequately following the story would know who they were.While looking into the mirror, they saw their reflections.
BillJ Pretty obvious, really!While looking into the mirror, they saw their reflections.