Thanks for that roebuck, it looks as if both wire terminals on the solenoid are used on the Husqvarna. One is a +12V that is only active when the engine is turned on, while the other is just a ground connection. The only question I have is how the connector is designed. It has to be plugged into the solenoid the right way around, because it has to energise the solenoid to pull in, not to push out. That would normally call for a 2 wire plastic plug that is assymetrical or has a fin on it so it can only be plugged in one way.
hockeymark's Murray has done it the easy way, and only has one (red, +12V) wire connected to the solenoid, as shown in his picture. It must get its ground connection through the studs the carburetor mounts on.