how to join lines between two junctions?

Wanna join lines between two junctions (where more than 2 lines intersect) into a single polyline. The command 'Pedit' cannot do it. Any ideas are welcome.

Thanks a lot!

Are the lines on the same plane (Z elevation) or 3d polylines? What steps are you taking? Can you post an example of the issue?

A polyline cannot contain branches but, depending on the shape of the junction, it may be possible to cheat by breaking and joining.

In the picture, the middle closed arrowhead "cannot" be a polyline but it is. The top version shows how.

Here's another way to look at it.
A polyline vertex can contain only the endpoints of one or two segments but two non-adjacent vertices, and the segments between them, can occupy the same locations.
In the picture, two vertices of the red polyline can be stretched to produce the cyan polyline which is a single object.
More segments can be added to the left- and right-hand ends but not to the top and bottom ends.

Jmurphy, Many thanks. They are on the same plane. The following is an example.

Attachment 85063

Check the layers for each and make sure they are not a locked layer.