Does the age of an aircraft guarantee safety

Since the clash of Dana Airline plane on the 3nd of June ,2012, in Lagos killing all the passengers on board and residents of the crashed site, there has been out cry about the ages of planes operated by Airlines in Nigeria. The general believe of most commentators, though most not aviation experts, is that most airlines in Nigeria have in their fleets planes too old to fly. The revelation that the DANA Mcdonnel Douglas 83 that crashed was almost 22 years old further fueled the call that all old planes should be grounded and phased out.
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