How to reconnect bike dynamo cable that snapped?

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This Wreckage

Active Member
My bike has a front wheel dynamo powering the lights. Somehow the wires, which are threaded mostly inside the frame, snapped between the frame and the front fork. There is only a very small length of wire left protruding from the frame, although I can pull a little more than is seen below. How might I re-connect the two sections of wire? There is so little to work with.

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