Yes all the current carrying electric wires running through our houses have magnetic field associated with them. But this magnetic field will not attract magnetic materials around the house, like the keys kept on a table.
This is because the strength of the magnetic field produced by these individual current carrying wires is very less. It will only be strong if you wrap the wire around some magnetic material which reinforces the field.
You need very sensitive measuring equipment if you want to observe this. It is based on this phenomenon of electromagnetic induction the contact less clamp meter measures AC current flowing in a wire without actually connected in the circuit.
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