I've removed a wall in the kitchen of my house, and there were 3
circuits running through it, one an outlet, one a switch, and one just
runs straight through.

What I mean to do is cut them, splice them to new (longer) wire, run
them through the floor over to the wall, then let them continue up into
the attic as they do now.

My issue, however, is that these are BX/armored wires. From what I
understand, these get their ground through the steel "armor" conduit
they run through.
Is there a way to splice these wires with modern NM?


Thanks,
John