All of them, La, Gd, and Lu, are considered to belong to the lanthanide series, that has variable electron configuration 4f(0-14)5s25p65d16s2 . These elements may easily give up three valence electrons from the 5d and 6s subshells to form a stable +3 oxidation state. Within the lanthanides, the state is especially stable for La, Gd, Lu as they contain stable empty (La - 4f0), half filled (Gd - 4f7), and full filled (Lu - 4f14) f-subshell.
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