Here are the PBL (Permute Both Layer) algorithms for 2x2 using stop motion.
Note: If you have no swap on the top layer and either diagonal or adjacent swap on the bottom layer, just flip the cube around so that the no swap layer is on the bottom and use the algorithms.
1) R2' F2 R2
2) R2 U' B2 U2' R2' U' R2
3) R U' R F2' R' U R'
4) L D' L F2' L' D L'
5) R U R' U' R' F R2 U' R' U' R U R' F'
(Alternative: R U R' F R U R' U' R' F R2 U' R' U')
6) F R U' R' U' R U R' F' R U R' U' R' F R F'
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