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Yes it did come with the second strop.
It seems to be leatherette backed with the fluffy side of Velcro, lol! I have no idea why it's there or how it could be used, it certainly isn't like the...

I've just received one of the Haryali kits, more out of curiosity than any hope of quality, and in general I've been pleasantly surprised.
Mine came with razor, strop and badger brush, and like you...