Running lights/ driving lights/tail lights, in my book are all the same. In other words the lights in the rear that come on with the headlight switch. Usually turned on a night.
Now speaking of those tail lights: One of the filaments in the tail light bulb is the tail light filament. You have two tail lights so you have a tail light filament in each. A wire from the headlight switch (the switch that turns on the headlights and the tail lights) goes back to the rear. That wire is split (t'ed off/spliced/connectorized, whatever) and run to each tail light's tail light/running light/driving light socket contact.
Then you also have two more wires going back separately, one to each tail light's stop/brake socket contact.
So three wires going back.
PLEASE NOTE: My comments and instruction are for a normal incandescent bulb system with a normal aftermarket turn signal switch and a normal headlight switch. As I already said I DO NOT KNOW the requirements for LED. The concept of filaments does not apply to LED. LED's "increase brightness"
If you have an 1157 LED "bulb" and it has two contacts, then I guess it's wired the same as I describe. Again my explanation about tail lights/stop lights/turn signal lights/ turn signal switch is ALL based on an incandescent system. Your "higher Voltage" comment could be true. I guess.
