It is a non-issue. All they do to make "Re-Refined Motor Oil" is take that old oil back to the refinery and stick it into the exact same processing systems that the raw crude oil from the well gets - cataytic cracking, vapor distillation towers, molecular reformers to join lighter short-chain hydrocarbons (that would make gasoline and solvents) back into the longer chain ones that make oil, etc.
And it doesn't take as much processing to get back to clean and pure oil because it was already around the right fractions they were looking for when they started - it's a heck of a lot cleaner than the raw crude oil from the well. They just have to drive off or filter and capture the damaged oil molecules and all the contaminants.
Why they even have to label it as such is beyond me, unless they are able to skip a few of the normal refining steps because they started with refined (but dirty) oil. But even then it has to meet the API specs to be sold as motor oil again.
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