use like to compare nouns.
"...., like pearls moving mysteriously from one necklace to others."
if you want to compare clauses, you need a 'do'
"...., as pearls moving mysteriously do from one necklace to others."
except in this case we're not comparing nouns.
the comparison is not to "pearls", but to the way "pearls move".
Move is the verb, so we shouldn't need a 'do'
I did it all for the Starwood points.