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The intermediate will appear only in the elementary reactions (steps of the proposed reaction mechanism) but will cancel out when you write the overall balanced reaction. They are products of an elementary reaction that are fully used up as reactants in a subsequent elementary reaction.
an intermediate appears in multi-step reactions and is basically something that is formed during the first step of the reaction and is then subsequently used in the following step of the reaction. So, it goes from being a product to being a reactant and will be canceled out from your final equation.
An intermediate is part of the elementary steps of a rxn, meaning it is part of the reactions of a part of the reaction then cancelled/used up in the following step and is not seen in the final overall reaction
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