# Will Ravi help here?

Algebra Level 3

Let $$x, y,$$ and $$z$$ be lengths of the sides of a triangle such that $$x + y + z = 2$$.

The range of $$xy + yz + zx - xyz$$ is $$(m, n ]$$.

If $$m+n = \frac{a}{b}$$, where $$a$$ and $$b$$ are coprime positive integers, what is $$a+b$$?

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