NEW YORK—Gold prices fell Wednesday on investors’ continuing concerns about a drop in demand, but other commodities rose, buoyed by a sustained advance on Wall Street.

Commodities prices have largely been tied to the direction of equities in recent weeks, as investors worried about a weakening economy fled both stocks and futures contracts for the shelter of safer investments like cash and Treasurys. The fear is that a faltering economy will sharply curtail demand for raw materials.

But Wall Street built on its recent rally Wednesday, as investor sentiment remained upbe...

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