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F2L15.png

A good orientation preserving alg for this case?
 
Is there an algorithm for OLL parity and PLL parity at the same time?

What I mean is that if you have an OLL parity on 4x4, instead of solving it to continue to the PLL stage and see if you have a PLL parity as well. If so instead of doing two algs just have one that would flip edge pieces as well as switch places with the opposite side edge pieces.
 
Is there an algorithm for OLL parity and PLL parity at the same time?

What I mean is that if you have an OLL parity on 4x4, instead of solving it to continue to the PLL stage and see if you have a PLL parity as well. If so instead of doing two algs just have one that would flip edge pieces as well as switch places with the opposite side edge pieces.
Yes. The two most common algs are:
Rw2' F2 Rw U2 Rw U2' x U2 Rw U2' Rw' U2 Rw U2' Rw2 U2' x' [U2]
and its front/back mirror.

You can do r instead of Rw to preserve corners and swap two edges instead.
 
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