I think what i would do is have only 2 lists:
Left Logo | Right Logo
leave the no logo option in both.
If they want the same logo on both right and left, they select the same logo in both lists.
If you are proficient with javascript, you could add a checkbook for same log on both sides, and create an onchange event to set the right logo the same as the left, but that would take unsupported custom coding.