I have 2 features which are lines on a single layer re-projected to ESPG:2039.
I snapped their geometries to the grid and tried to dissolve them together. But when I add start vertices (green) and end vertices (red) to be displayed, I can see that I have 2 lines in the MultiLineString instead of 5 lines:
How can I make the joint part be dissolved together to a single line? Data can be found here as SHP file: http://www.filedropper.com/2lines
UPDATE: I tried to use the "Remove duplicates" as suggested by Erik, but it didn't do a thing.