Do double displacement reactions always involve ions?

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Double displacement reactions, or metathesis, is a molecular process involving the exchange of bonds between the two reacting chemical species, which results in the creation of products with similar or identical bonding affiliation.  This is represented by the general reaction scheme:

AX + BY ---> BX + AY

These species can be ionic or covalent in bonding nature.  It is important to note they involve ions of solutions of ions interchanging with each other.  It would be accurate to say double displacement reactions always involve ions of some type.  A good example of a double displacement reaction would be sodium hydroxide mixed with hydrochloric acid:

NaOH + HCl --->  NaCl + HOH (or, H2O)

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