Overrun

google

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Old English oferyrnan (see over-, run).

wiktionary

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over- +‎  run. 

etymonline

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overrun (v.)

also over-run, Middle English overrennen, from Old English oferyrnan "to run across, pass over;" see over- + run (v.). Meaning "continue beyond a specified time" is from early 14c. Meaning "to ravage (a land), maraud, plunder" is by mid-14c. Of weeds, etc., "to grow over, cover all over," by 1660s. The noun meaning "excess expenditure over budget" is from 1956. Related: Overran; overrunning.