If it is not Even

Algebra Level 3

Consider \(f\left( x \right) =\ln { { \left( \dfrac { { 2x }^{ 3 }+1 }{ 1-{ 2x }^{ 3 } } \right) }^{ 3 }+\dfrac { 1 }{ 8 } \sin { x } } \). Find the sum of all the roots of \(f(x)\).

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