Under the bill, an ounce or less of pot would result in a maximum $500 fine.
Right now, it could cost you up to $2,000 and up to 180 days in jail.
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RELATED: Multiple bills aim to expand medical marijuana in Texas
Multiple bills aim to expand medical marijuana in Texas
If the bill passes the House, it goes to the Texas Senate.
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In Harris County, people caught with less than four ounces of pot enter a diversion program. That's been in place since 2017.
Everything you need to know about Harris Co.'s pot policy
Everything you need to know about Harris County's new pot policy