What would cause both traction control lights to come on after 30 miles of drivi

Hello, This is likely an intermittent failure in in the system. The typical components that fail are wheel speed sensors, but there are several other factors that may cause failure. The ABS and TC systems are both integrated into various other functionalities of the vehicle, especially if you have an advanced form of all wheel drive. Have it scanned, and see if there are codes pending all the time, or scan it when the light comes on. Don't turn it off before scanning if the light comes on.