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Two sets are equivalent if they have the same cardinality. In [over-]simplified terms, if they have the same number of distinct elements. Two sets are equal if the two sets contain exactly the same distinct elements.

So {1, 2, 3} and {Orange, Red, Blue} are equivalent but not equal.

{1, 2, 3} and {2, 2, 2, 3, 1, 3} are equal.

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