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No, it is a single displacement reaction. It can also be called a redox reaction.
It is not an acid base reaction because although hydrochloric acid is obviously and acid, magnesium is a metal, not a base.
A nuetralization reaction is when an acid and a base is combined
An acid-base reaction that leaves no excess H+ or OH-
an acid-base titration reaction involves a neutralization reaction.
neutrilization reaction takes place when acid reacts with base