It happened near the corner of Erwin Road and Douglas Street before 3:30 p.m.
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According to Durham police, the shooting started with a dispute at BP.
Investigators believe the victim was in a car in the parking lot when shots were fired from a dark SUV by at least two people.
The victim's vehicle then rolled onto Erwin Road and crashed into two other vehicles.
The victim, a 24-year-old, was taken to the hospital for treatment.
The occupants of the other two vehicles were not injured.
A Duke University crime alert email said the suspect took off in a black Jeep. Police said the car was last seen going west on Erwin Road.
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No charges have been filed.
Police are asking anyone with information on the shooting to call the Durham Police Department at (919) 683-1200.