Solving Last Six Edges
The presented method is a continuation of the first steps of corners-first method or Roux method. It solves the last top-left edge (LU or Top Ledge), the last top-right edge (RU or Top Redge) and all middle edges between left and right faces.
Prepositioning Redge & Ledge
The aim of this "step" (I cannot call it a step because otherwise it would not be a 2.x look method) is to put LU and RU to adjacent front or back positions. Maximum of 2 turns is required (the average is a little above one turn). You should be able to predict the configuration that you will get into to continue fluently.
Orienting Edges and Prepositioning Redge & Ledge
In this step, we are going to orient all six edges and simultaneously position the UL and UR edges to FD and BD positions (the order is not important). There are 24 sequences accomplishing this when RU and LU edges are in F layer, part of them having mirror cases. For situations where UL and UR edges are in B layer you can either turn the cube around U-D axis or do M2 or - when you know the sequences well - F-B mirror the sequences given.
If you already know where the UL and UR edges are placed you need to see only front and top faces in order to recognize the case.
In the folloving pictures incorrectly oriented edge is purple and correctly oriented edge is pink. Both white and yellow (L and R) facelets are colored white.
Position All Remaining Edges
Having oriented all edges and prepositioned the UL and UR edges, we can solve all edges in one step. The following 24 situations can occur. Mirror configurations are included and if we do not count these then there are only 8 configurations to learn and even within this small group there are some similarities. These are highlighted. Most situations have two different sequences: one using U and M turns only and the other "free style". The latter beeing 1 turn shorter.
Only 3 adjacent faces are needed to recognize the pattern.