
Split and remove the unnecessary parts of it with the node tool and Apply Path > Stroke to Path to the remaining part to get a closed shape: Apply to it Path > Object to Path to make the green bike free for edits. Have a big zoom because visually you can get it right only within plusminus 1 screen pixel.Ĭlose the red bike in the Objects panel (do not delete it, you can make an error and need it).

The white interior of the bike must become totally free, but the new NC outline must be as wide as it originally was and it must not be moved more than the absolute minimum. The red bike is a single stroke curve with no fill, it's drawn (or made as Offset) to be the reference how much and where the NC outline should be bent outwards. Only the northern border against Virginia is simple, all other parts are full of nodes.

The NC state outline isn't a curve, but a filled closed shape which has no stroke.

I guess your NC outline and the red bike outline are something like this:
