noun
a firm belief in the reliability, truth, ability, or strength of someone or something
preposition
indicating the basis or grounds for something
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The business deal was based on trust between the two companies.
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I'll lend you my car, but it's on trust that you'll bring it back in one piece.
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We're starting a new project together, so let's make sure we're all on trust.
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Their relationship was built on trust, like a strong foundation for a house.