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-(Log[1 - x/2]*Log[x]) - PolyLog[2, x/2]

Integrate[Log[x]/(2 - x), x] ==
-(Log[1 - x/2]*Log[x]) - PolyLog[2, x/2] 

          Log[x]
Integrate[------, x] == 
          2 - x

          x                       x
-(Log[1 - -] Log[x]) - PolyLog[2, -]
          2                       2
Time to compute: < 0.01 second
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