Inequality constraints in least-squares fitting

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I would like to perform least-squares fitting with inequality constraints that involve the parameters in both sides, in addition to box constraints (bounds). For example, for a 2 parameter (x1, x2) problem I would need to something like:
lb = [0, 0];
up = [100, 100];
x1 >= x2;
x1 <= x2*5;
I am typically using lsqnonlin but I understand this is not possible with this function. Is there another way to do this, and how can I set it up? Many thanks.

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