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Amid a softening real-estate market, a South Florida penthouse that will list for $39 million comes with an unusual bonus: a pink diamond valued at $500,000.

As diamond prices fluctuate, the exact size and cut of the stone will be determined at closing, said listing agent Chad Carroll of Douglas Elliman in Florida. Kevin Venger, a co-developer of the building, said a pink diamond was selected because of its rarity.

Located in…