# Not a problem, right?

Algebra Level 3

Let $$x$$, $$y$$, $$z$$ > 0 and if $$\dfrac { x }{ 2x + y + z } + \dfrac { y }{ x + 2y + z } + \dfrac { z }{ x + y + 2z } \le \dfrac { k }{ l }$$ for coprime positive integers $$k$$ and $$l$$. Find the value of $$k + l$$.

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