Fetching details from the dictionary...

to leave; to go away
to pass; to elapse
to be distant
to send away; to drive off; to divorce
to (do) completely
last ... (e.g. "last April")
彼は何も言わずに、その場から静かに避っていった。
He left the place quietly without saying anything.
冬が避って春の気配を感じるようになる。
Winter passes and you start to feel the signs of spring.
嫌な気持ちが時間と共に避っていく。
The unpleasant feelings fade away with time.