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Let $A := \mathbb{Q} \setminus \{0,1\}$ denote the set of all rationals other than 0 and 1. A function $f : A \rightarrow \mathbb{R}$ has the property that for all $x \in A$, $f\left( x\right) + f\left( 1 - \frac{1}{x}\right) = \log\lvert x\rvert.$ Compute the value of $f(2007)$.