Two white cables loop link

[ssl347]

Has anyone ran into this issue when replacing a vanity light? The white thick wires are continuously looped and on one side of the loop the wire is marked with black tape. Do I wrap both black wires to half of the loop? Thanks for any advice.

 

[littlespark]

How was it connected previously?

how many conductors have you got in total, and how many do you need for the light?

 

[ssl347]

The rounded ends were screwed into an old light socket (two white and one ground). I have two black and two white and no grounding screw on this vanity lamp.