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x2x+y+z+yx+2y+z+zx+y+2z \large\frac x{2x+y+z} + \frac y{x+2y+z} + \frac z{x+y+2z} 2x+y+zx+x+2y+zy+x+y+2zz
Let x,yx,yx,y and zzz be positive numbers. Find the maximum value of the expression above.
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