L7E

L7E, also called Last Seven Edges can be used as a last step to solve the remaining seven edges in 42, WaterRoux, Waterman, LMCF and other Corners First methods.
Possible approaches
There are multiple ways to solve the last seven edges, some of which are listed here.
R edge+LSE
 Solve one edge in the R layer
 Finish the solve with any LSE variant
While this approach is very easy for people coming from Roux, other variants are more efficient.
EO+FR
 Solve EO and the FR edge
 Finish the solve using L6EP to permute the remaining six edges (e.g. with Roux's 4b and 4c)
This was proposed by Joseph Briggs for his 42 method.
2opp EO
 Solve two opposite edges (UL+UR, UF+UB or perhaps even DF+DB) and EO simultaneously
 Permute the remaining five edges using L5EP
This was proposed by Joseph Briggs for his 42 method.
Old WaterRoux L7E
 Do 05 setup moves and then execute an algorithm to solve UL, UR, FR and EO
 Permute the four midges (edges in M) with Roux's 4c
This was the first idea for WaterRoux L7E by Eric Fattah with a movecount from around 15 to 19, although it is not recommended for use anymore.
WaterRoux L7E
 Orient two edges and position them at UL and UR whilst bringing either the FR edge or DR edge to the Dlayer. Centers must be solved or off by an M2 in [1]
 Using one OL5E algorithm, the remaining edges are oriented [2]
 Solve the remaining six edges with special L6EP algorithms [3]
This approach was invented by Julien Adam for the WaterRoux method and is currently the recommended approach. In its advanced form, it averages 17.25 moves by utilizing 149 algorithms. [4]
EOLR
 Orient all edges using iterative edge orientation and solve one or more edges of the left and right layer.
 Permute the middle slice and any remaining edges of the left and right side if necessary.
This method was developed by James Straughan and is an extension of the standard method for solving the last six edges in the Roux method. The same additional techniques used in Roux LSE can be applied to L7E, such as EOBF, EOLR while placing LR edges on the bottom layer, full EOLRb, misoriented centers, and so on. The method's basic form resembles the basic form of LSE. Iterative EO is used while placing a single L/R edge, the remaining L/R edges are solved, and finally the M slice is permuted. The advanced form involves solving additional edges during EO, similar to EOLR for LSE.
OH L7E
For onehanded solving, Joseph Briggs proposed that l and l' moves can be used during table abuse to "switch between styles" in order to access all two edges on the R layer. A better explanation is given in his video.