1) Connect the 0V of the LM317 circuit to the cathodes of the two LEDs.
2) Connect one end of the new 120 ohm resistor to the output of the LM317 and connect the other end of the resistor to the anodes of the two LEDs.
We do not know if the LEDs in each lantern match so use a separate 120 ohm resistor for each stripped lantern.
2) Connect one end of the new 120 ohm resistor to the output of the LM317 and connect the other end of the resistor to the anodes of the two LEDs.
We do not know if the LEDs in each lantern match so use a separate 120 ohm resistor for each stripped lantern.