An explanation provides information, while an argument uses evidence to support a claim.
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PRINCIPAL ARGUMENT = ARGUMENT + 2nPI arg(Z) = Arg (Z) + 2nPI
A claim is putting forth the right to something. If that claim is not settled then it might result in an argument.
An invalid argument is when the facts you are using are invalid or your forms of defense are wrong or incorrect, a valid argument is the opposite of an invalid argument. "There is a windmill in my beard. your argument is invalid." (This is a good example of a bad contradiction)
see related links below for explanation of both
A valid deductive argument will have a valid premise and conclusion and a fallacy may be true, it all matters on how you came to the conclusion.