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True or False?
If aaa, bbb, and ccc are positive real numbers such that aa+1+bb+1+cc+1=1 \dfrac a{a+1} + \dfrac b{b+1} + \dfrac c{c+1} = 1a+1a+b+1b+c+1c=1, then the maximum value of abcabc abc is 18 \dfrac1881.
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