Here are the correct answers to your questions:
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If a contract is missing an element, it is considered void.
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An implied contract must be stated in words, written or oral. False (an implied contract can be inferred from actions or circumstances).
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If you purchase a car with a written contract and the salesman tells you that oil changes are included but it's not written in the contract, are you entitled to the free oil changes? No (the written contract typically takes precedence over verbal claims).
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A bilateral contract contains two promises. True.
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Any agreement that takes over a year to be performed must be in writing. True (this aligns with the Statute of Frauds in many jurisdictions).
Feel free to ask if you have any more questions!