input: Beautiful patterns of ice crystals on the glass as well as any crystal structure Mother Nature also creates completely by its own without any assistance of any ridiculous and idiotic extraterrestrials
fixed: Beautiful patterns of ice crystals on the glass, as well as any crystal structure, Mother Nature also creates completely by its own, without any assistance of any ridiculous and idiotic extraterrestrials.

input: Now repeat from along the shawl down to the point and up along the other side
fixed: Now repeat from *-* along the shawl down to the point and up along the other side.

input: Using equation 6 we can also write 12 as
fixed: Using equation (6) we can also write (12) as:

input: One knows that the mere fact of unification is satisfying to the workers but it is a mistake to believe that this momentary success is not bought too dearly
fixed:
One knows that the mere fact of unification is satisfying to the workers, but it is a mistake to believe that this momentary success is not bought too dearly.