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Sounds like you may have a sticking relay in furnace.
Can you give me complete model from inside furnace in burner compartment so I can provide guidance with this specific unit.Model will be on a label just above burners on right or left inside panel
Then look in blower compartment and see if we have a control board with a blinking light.If so tell me the pattern of that flash.That will indicate what is wrong and tell us where to start troubleshooting.
Let me know if you have a voltmeter to do some troubleshooting