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RCOOH + R1COH + H+ ---> RCOOCR1 

RCOOCR1 + OH- (usually NaOH) ---> RCOONa + R1COH 

so esterification uses catalytic acid, acid and alcohol to make esters 
saponification uses at least 1 equivalent sodium hydroxide (or KOH) to make acid salt, alcohol 

so they are opposites of a single reaction forwards is esterification; backwards is saponification. 
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