Explaining Avogadro's Law using kinetic theory

So far I have found a kinetic-theory explanation of the Boyle's Law, Charle's Law, and Pressure-Temperature Law. For example, for the pressure-temperature law: increasing the temperature of a gas while holding the volume constant causes the gas molecules to collide more frequently with the container of the gas, resulting in increased pressure.

Is there an explanation of the Avogadro's Law that uses the kinetic theory?

BiP