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Electric forces are attractive or repulsive forces between "charged objects", e.g. comb and dry hair after some friction. Charged objects are those that carry some nonzero electric charge QQ. The lightest – and therefore easiest to move – charged particle is the electron so the surplus or deficit of electrons is the most typical reason why some objects are charged.
Magnetic forces are attractive or repulsive forces between magnets, like magnetized pieces of iron. The amount of "magnetic dipole" carried by a magnet is completely independent of its electric charge. They're as independent as the gravitational and electrostatic forces i.e. as independent as the mass and the charge of an object.