Common ion effect is observed when a solution of weak electrolyte is mixed with a solution of strong electrolyte which provides an ion common to that provided by a weak electrolyte.
Ammonium hydroxide is a weak electrolyte and ammonium chloride is a strong electrolyte. Ammonium chloride provides ammonium ion which is common to that provided by ammonium hydroxide.
Thus the pair NH4OH+NH4Cl shows common ion effect. Ammonium chloride suppresses the ionization of ammonium hydroxide.
Hence, ammonium hydroxide becomes still weaker in the presence of an aqueous solution of ammonium chloride.