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Formal charge is a charge calculated for each atom in a molecule, used to determine the most stable structure for the molecule. Formal charge must be close to zero (or +/-1) because neutral charges are the most favorable.
Yes, you could draw a structure with atoms containing formal charge greater than 2, but this would not be a very good representation of the true structure, as greater formal charge in either direction (positive or negative) makes the structure less stable. Neutral is most stable as said above
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