I believe what you're referring to is 'look back time.' In other words, if a star is more lightyears away (in distance) than its expected age (in years of time), than it is possible that it takes longer for its light to get to us to see then it does for the star to live out its entire lifetime. It may have either blown up for massive stars, or became a white dwarf for lower mass stars. The key is that a lightyear is the *distance* light can travel in one year. If that number is bigger than the expected time a star exits, this is the case.