What is meant by

Malleable metals, like copper and nickel, are able to be stretched out into thin wires. This is known as Malleability.

Copper, nickel and tin are a few metals that are able to be pounded into thin sheets and able to be made into thin wires. This is known as Ductility.

When atoms move in different ways and can be pounded or stretched, they are both malleable and ductile.