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I replaced my MacBook Air 2013 battery four months ago and everything worked fine. Then I put it to sleep for a long time. It discharged completely and now it won’t charge at all. Any suggestions?

Try opening up the bottom case, unplug the battery from the logic board and try connecting the magsafe. If you manage to startup your Mac it’s probably just a matter of dead battery that needs replacement. Lithium batteries get bad when left flat for a longer amount of time and may swell and/or lose the ability to take charge. Ideally, in view of a longer time span without normal use, battery should be charged to abt 70% and unplugged for storage.