# Logarithmic inequality

Algebra Level 4

$\log_{\left(\frac{x+6}{3}\right)} \left(\log_{2}\left(\dfrac{x-1}{x+2}\right)\right)>0$

If the range of $$x$$ satisfying the above inequality is in the form $$(a,b)\cup (c,d)$$, find $$a+b+c+d$$.

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