Electron configuration of Ca is 1s2 2s2 2p6 3s2 3p6 4s2
So, Ca has a tendency to lose two of its valence 4s electrons to attain the electronic configuration of Ar which is an innert gas and thus, has most stable electron configuration.
So Ca forms Ca2+ ion. In CaCl, Ca is +1 oxidation state and thus, always has a tendency to lose one more elecron to gain the innert gas electronic configuration. So CaCl if formed anyway , may quickly transform into CaCl2.
Now, in CaCl3, Ca is in +3 oxidation state which is rather uncommon for Ca since Ca can lose two electrons maximum to attain the innert gas confguration. Also, with lose of electrons the nuclear attraction force to the remaining electrons increases in Ca2+ ion which also prevents further electron loss from th filled 3p subshell.
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