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Algebra Level 4

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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