The small plastic at the end of shoelaces is found on almost every shoelace. This blog post answers all your questions about that tiny plastic cap, called an Aglet.
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Why is there a small plastic in the end of almost all shoe laces? - Quora
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What Is an Aglet?
Frugal win! you can fix the broken end of your shoelace (or any lace ex: sweatpants) for cheap! With heat shrink tube. one meter is 1 dollar. : r/Frugal
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