Path to poly creates two unexpected extra lines

Hi, first of all I am a novice, so this might be something really simple. I have been trying to recreate an existing paper map with CC3+, in effect tracing the map from imported BMP using freehand sketch.

I got to the point when I wanted to convert the freehand into a poly, creating the continent. Unfortunately I am hitting a perennial problem which I cannot seem to figure out myself.

When I do a path to poly, I get a poly alright, but in one of the areas it adds two extra lines. I explode the whole poly, examine the points where the lines terminate, and I can see nothing special about them.

I have tried to delete portions of the path and replace the part with "trim to intersection" but the end result is the same. After half a day of wondering about this getting progressively more frustrated, I decided to ask for help.

Any suggestions on what to try would be highly appreciated.

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