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Technically it does, 'equivalent' was always a more suitable word in my view.

2 + 2 = 3 + 1

But the sides are not the same.

The sums are the same, but the numerals are different.

It is possible to be both equal and different.

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Of course, in mathematics it's called 'equivalency'.

No mathematician would say those two expressions are equal, but rather 'equivalent'.

I'm being rather pedantic aren't I?