2 different hotkey's , one for each script, but only one works

[Frosti]

one script contains the following hotkey:

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		LControl & ü::																							
		ListLines
		return

the other script uses that combination:

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^!ü::ListVars

If I press LControl + LALT + ü - only Hotkey from file 1 works.
I found following solution that works:

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$^!ü::ListVars

It makes me very uneasy that I just do not understand why the first version of File 2 wan't works, but the last one does it.
Please save my evening and my sleep!

[TLM]

$ The $ prefix forces the keyboard hook to be used to implement this hotkey, which as a side-effect prevents the Send command from triggering it. The $ prefix is equivalent to having specified #UseHook somewhere above the definition of this hotkey.

[Frosti]

Thanks, I see now that I did not recognize a simple logical connection. My two hotkeys containing the combination LControl and the ü key, the hotkey is taken in the first that met first all conditions. The entry was successful and thus the two successful entry keys are removed. Do you know if the Alt key in my example, if I had another hotkey such as Alt + 4 (I still have my fingers on Ctrl + Alt + ü) and after triggering Ctrl + ü , and then I addionally hold down key 4 the Hotkey Alt + 4 is triggered?
Complicated explained. And I also do not know why this would be useful. Perhaps it helps me to understand how hot keys works.
Do you understand my question?