The shooting was a result of what police say was a car chase between two men in Acres Homes.
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An innocent bystander was also injured in the shootout, according to police.
Around the time of the shooting, Mayor Sylvester Turner wrote a series of statements regarding gun violence on Twitter, saying "we need people to reveal the identity of those committing these crimes. There are too many guns on our streets."
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No information about the victims was immediately made available. The investigation is ongoing.