That is what The Third Three-Color Series will do. This is actually the norm in this puzzle because there are so many more three-color pieces. Rarely will you find an edge piece that will move into its correct position and orientation only by executing the sequence. The answer then, as in the 3D case, is that you must do preliminary moves . Do a set of moves such that an edge piece will move into its correct position with one of the sequences, perform the sequence, and then undo your preliminary moves.
Lets go through solving the next edge pieces together.
Upon execution of the Second Series, the pieces will go to the following positions on the cube. Of course this piece won t be solved if we just execute the Second Series with the cube as shown. Left Making the cube look like this. If it had, that is ok, but we would need to make sure that the new piece in that position was not one we had already solved. If it was, we would be undoing our previous work.