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Logical inference refers to the process of deriving new statements or conclusions from existing premises using rules of logic, whereas logical equivalence indicates that two statements have the same truth value in all possible scenarios. Inference is about the relationship between premises and conclusions, while equivalence focuses on the relationship between two propositions themselves. Essentially, inference moves from known truths to new truths, while equivalence shows that two statements can be substituted for one another without changing the truth of an argument.

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