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The more stable it is the less reactive it will be because it already has a more desirable amount of electrons. Once Cl gains an electron it has a full octet and does not have a desire to gain any more electrons. Its properties will become similar to that of Argon.
Chlorine is very reactive because of how close it is to filling a full electron shell. Since it only needs only more to complete a shell as opposed to losing 7, Cl- is the most common form. This is also why we see Na+ a lot. The Na needs to lose an electron to have a full valence shell. Hence, NaCl.
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