When signals on both sides don't work, the first suspect is the flasher. There's usually two though, one for the signals and one for the hazard lights. That means typically only one system stops working.
Whenever you add a symptom where a lighting circuit acts differently when a second circuit is turned on, the running lights in this case, it's usually due to a bad ground. Not enough current can get through to cause the flasher to heat up and flash the lights on and off. Look for lights that aren't full brightness. A good approach to start with is to measure for voltage on the grounds of the rear bulbs. If yours still have the round brass bases, that's what you measure on. There must be 0.0 volts there when any lights are turned on. If you have the newer flat plastic bases, check on every terminal. With a bad ground, all four will have some voltage when any light is turned on.
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Tuesday, January 27th, 2015 AT 5:40 PM