The accident occurred at around 12:30 p.m. on Friday.
The vehicle went off the road and is believed to have overturned. Three people were in the vehicle and all were taken to hospital, says Sofia Kalmeborg, duty communications officer at the Swedish Armed Forces.
One of the injured was taken to hospital by ambulance helicopter and the other two by regular ambulances.
The three were slightly injured and have been released from the hospital, according to Sofia Kalmeborg.
The accident occurred during a transport home from an exercise.
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