Crafto's approach to 42 L7E goes as follows:

Average moves for O2E and L7EOP-FR:

1. Orient two edges and position them at UL and UR whilst bringing the FR edge to the D-layer.
(NOTE: If FR edge is solved but flipped, skip this step.)

2. Ensure that centers are solved or off by an M2 in relation to the DL corners.

Average moves for L6EP (estimated):

3. Using one L7EOP-FR algorithm, the remaining edges are oriented, and the FR edge is solved.

4. Intuitively or using one of the L6EP algorithm sets, solve the remaining six edges.

Average moves for L7E:

Scramble 1: M' U M U2 R U M U' r' U2 M2

My thought process

The M brought two oriented edges to UFM and UBM.

I then did a U to bring them to URS and ULS,

I then did an M to align the centers, ensuring

I keep the FRE edge in the D-layer.

I see that the edge at FR is oriented, so I am

using an algorithm from the FR good set. I then

see that all M-slice edges are oriented. Since the FR

edge is not visible, I can infer that it is at DBM, and

I am therefore using the FR edge at DBM algorithm

I don't see an efficient way to solve L6EP using

algorithms. I do however notice that the edges

at ULS and URS are positioned in DFM and DBM.

I can insert them with U2 M2. I then solve the M-slice

with U' M' U2 M U2 M2 U.

Scramble 2: M U M U2 M2 U' R' U M2 U' R U2 R'

My thought process

I see that O2E is already solved, so I go straight

to L7EOP-FR. I see that the edge at FR is oriented, so I

am again using an algorithm from the FR good set.

Since the FR edge is at DFM, I am using the FR edge at DFM

algorithm for this case. I then see that the visibly flipped

M-slice edges are at UF, UB and DB.

M' // setup for algorithmic L6EP (1/6)

I see that I can bring the DB edge and the white

center to the D-layer with an M'.

U' y' r2 U M’ U2 M U r2 // L5EP (9/15)

I then immediately recognize the Back bar and right bar case,

due to the 2x2 block at Ubl. The U move

and rotation are the setup for the algorithm.

I then fixed the R-layer with U f.