Although I do not know the length of time Texas requires, in some states, i.e. New Jersey, if nothing is done after six months the court can dismiss the case. You may receive a letter from the court advising you of the dismissal date. Wait too long and and the case will be dismissed for lack of prosecution.
Check with the clerk at the court for a more precise answer.
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There is no set time. It depends on when the court sets the case for dismissal. This is up to each court, and commonly each court just goes through the cases on its docket periodically, sees which ones have no action, and sets those for dismissal.
This answer is intended for informational and educational purposes only and should not be considered legal advice nor forming the attorney client relationship. This attorney is licensed in Texas.