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definition 1: to found or bring into being on a firm or stable basis.
example: They established the business in 1918, and it’s still running successfully.
example: The diplomats worked to establish stronger ties between the two nations.
definition 2: to determine or prove to the satisfaction of others; show to be true or valid.
example: His attorney helped to establish his innocence.
example: The medical examiner established that the cause of the victim’s death was drowning.
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Collocations: Words often used in combination with the transitive verb establish (definition 1)
establish + NOUN: ~ link, ~ relationship, ~ reputation, ~ network, ~ partnership, ~ connection, ~ framework, ~ procedure, ~ principle, ~ standard, ~ priority, ~ rule, ~ pattern, ~ mechanism, ~ criterion, ~ bond, ~ tie, ~ foundation, ~ institution, ~ organization, ~ committee, ~ fund, ~ presence, ~ rapport, ~ authority, ~ base, ~ baseline