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There is no set amount of time in the law in Texas in which they may hold your license without officially charging you with a crime. That said, they are to act reasonably and they are to observe your Constitutional due process rights in carrying out their duties. If they do not, then they can be held liable as a result thereof.
With that being the case, since you have not been charged with a crime and certainly have not been convicted here, you driver license is still technically valid. As such, you can go to the DMV and purchase a duplicate license so that you can drive around until they officially charge you and suspend your license...if they even take that course of action.
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Best wishes going forward!
Just checking to see if you had any additional questions. I want you to be as comfortable as possible moving forward. Thanks