Complex ions usually refer to cations in which surrounding water molecules have been replaced by some other electron pair donor.
Many cations (Ag+, Cu2+, Cd2+, Zn2+, and many others) form complexes with ammonia. These sometimes are called ammine complexes.
Another reaction type frequent seen is the formation of a hydroxide followed by the formation of a soluble hydroxide complex ion. Fe(OH)3 and Mg(OH)2 do not form soluble complexes, but aluminum and zinc do:
Zn(OH)2 + OH- --> Zn(OH)42-
Al(OH)3 + OH- --> Al(OH)4-