Negative optimum values in gp mode

Is it possible that in gp mode cvx would return a negative value as the optimum value for one of the variables ?
because I keep on handling it and I notice it never happened so I was wondering if I can remove this constraint altogether

I believe that in gp mode, all variables are nonnegative, without having to be explicitly declared or constrained as such. You may wish to re-read to improve your theoreticall foundations of Geometric Programming.

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