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Synonyms for Extract (same or very similar meaning)

WordNet sense 1 (a solution obtained by steeping or soaking a substance (usually in water)):
infusion

WordNet sense 2 (a passage selected from a larger work):
excerpt, selection, excerption

WordNet sense 3 (deduce (a principle) or construe (a meaning)):
educe, elicit, evoke, draw out

WordNet sense 4 (obtain from a substance, as by mechanical action):
express, press out

WordNet sense 5 (remove, usually with some force or effort; also used in an abstract sense):
pull, take out, pull out, pull up

WordNet sense 6 (extract by the process of distillation):
distil, distill


From the ODE community, based on WordNetadd/edit