Please reason step by step, and put your final answer within \boxed{}.
It is known that the inequality \(\frac{1}{n+1}+\frac{1}{n+2}+\cdots+\frac{1}{2n}>\frac{1}{12} \cdot \log_{a}(a-1)+\frac{2}{3}\) holds for all natural numbers \(n > 1\). Find the range of values for the real number \(a\).
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