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Case #01
In this case, the last F2L pair is solved, but the corner is flipped.  It is easy to distinguish cases by simply looking at how many correctly oriented edges there are in the last layer.

FR:  (R U' R' d) (R' U2) (R d') (F R' F' R)
FL:  (L' U L d') (L U2') (L' d) (F' L F L')
BL:  (R' U R d') (R U2) (R' U) (R' F R F')
BR:  (L U'L' d) (L' U2') (L U') (L F' L' F)
# Diagram Algorithm Comments Video
01 FR:  (R U' R' d) (R' U2) (R U2') (R' U R)
FL:  (L' U L d') (L U2') (L' d2) (R U' R')
BL:  (R' U R d') (R U2) (R' U2) (R U' R')
BR:  (L U'L' d) (L' U2') (L U2) (L' U L)
In this case, there are three correctly oriented edges in the LL.  The algorithm is pretty intuitive, but the d-turns help it flow nicely without rotations. Videos Coming Soon!
02 This case is easy to distinguish because there is only one correctly oriented edge in the LL.  This algorithm is nearly identical to Case #01, but you place the pair differently once it is connected. Videos Coming Soon!