It is usually a preposition, though it is sometimes a
conjunction.
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Both...and is a correlative conjunction. It is used to connect two equal grammatical elements together in a sentence.
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The grammatical conjunction in this sentence is and. A
conjunction is used to connect phrases, sentences, clauses, or
words. A conjunction is typically one word but there are a few
short phrases that also serve as conjunctions.
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No, "nor" is a coordinating conjunction used to connect two negative ideas in a sentence. It is often used in parallel structures to join phrases or clauses that have similar grammatical forms.
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No, "none" is not a coordinating conjunction. It is a pronoun that means not any or no one. Coordinating conjunctions include words like "and," "but," and "or," which are used to connect words, phrases, or clauses of equal grammatical importance.