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Restricting a variable to a (real) range

Hi. I'm solving a differential equation which depends on two parameters $c1$ and $c2$. They are both positive

assume(c1 > 0)
assume(c2 > 0)

but in order to solve the equation, maxima ask me whether c2-3 is positive, negative or zero. With the condition

assume(c2 - 3 > 0)

the equation is solved; But imposing c2 - 3 < 0 triggers and inconsistency... I believe that it is due to the initial assumption.

Question

Is it possible to set a condition like assume(0 < c2 < 3)?