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Hello, I hope the following is of assistance.
From your description the wiring you've snapped is for the crankshaft position sensor, as you've found out the engine won't start without this sensor signal as the engine management can't detect engine position.
If the wires have snapped where they go into the electrical connector then your best option would be to cut the connector off a vehicle at a breakers yard, make sure you cut the wiring away from the connector then you can easily connect the wiring onto your damaged wiring.
I hope this helps but if I can assist further let me know and I'll reply as soon as I'm able to.