Select the two vertices and press C to connect them with an edge. This
should form a thin triangular face between the two edges that you want to
become one edge.

Select the new edge and press 2 to split it into 2 parts with a vertex in
the middle.

Select the new vertex and the vertex that's way down in the bottom of the
thin triangular face, and press C to connect them with an edge.

Select the two long edges on either side of the thin triangle (the ones that
you originally wanted to turn into one single edge) and delete them.

Select and delete the original two vertices that you wanted to weld.

 - Slime
 [ http://www.slimeland.com/ ]

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