If $I = \int _0 ^1 \frac{\ln (- \ln x)}{x^2 + x + 1} \, dx$ and $J = \frac{1}{2} \int _0 ^1 \frac{\ln (- \ln x)}{x^2 - x + 1} \,dx$ then what's $I-J$?

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If $I = \int _0 ^1 \frac{\ln (- \ln x)}{x^2 + x + 1} \, dx$ and $J = \frac{1}{2} \int _0 ^1 \frac{\ln (- \ln x)}{x^2 - x + 1} \,dx$ then what's $I-J$?

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