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You need resistors on pretty much any LED with a fixed voltage power supply.  LEDs are current mode devices, and the power curve bends very sharply once you reach their operating voltage.  If you have a typical white LED that operates at 3.2 volts, it will draw 20 milliamps at that voltage.  Just increase the voltage a couple of tenths of a volt and it's drawing double that current and it's lifespan is cut to probably 1/10 or even less.

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