Why this cable on neon sign transformer?

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This is a non sense question, but imagine that we have a circuit with 2 transformers with the outputs not connected to any load. Can be L1 and L2 in some kind of resonance?
In this configuration there is a AC source and there are 2 transformers with only the primary connected to the circuit.
 

You need to define L1 and L2. I'm really not understanding the question though, I'm afraid.....
 
You need to define L1 and L2. I'm really not understanding the question though, I'm afraid.....
Something like the next picture.

But it's possible that I have confused the primary of a transformer with a coil + core. What means the coil and the line? A tunable inductor?
 
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