In 1F-3W system, like 120-240 volts, each hot wire is displaced 180 degrees, so if you want to measure those two wires with a single CT the magnetic flux of the wires will cancel each other.
But, to sum the current of these two wires, you need to hook up backwards one of them to put it in the same phase (time displacement), this way you can add the two phases. Note, that this will not work on system energized by a 3 PH transformer (208/120 or 220/127 volts).
Try it, and please tell me if this work for you.
Proyectos IR