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Patriots-Falcons, the latest case of trophy inequity

The New England Patriots are in the Super Bowl for the ninth time in the last 31 years, chasing their fifth championship next weekend in Houston.

No coach or player in the current NFL could have a more palpable been-here-before feeling than Bill Belichick and Tom Brady. All four of their Super Bowl victories have come since the 2001 season with that venerable coach-quarterback pair, with this their seventh appearance together.

Then there are the Atlanta Falcons, still seeking their first Vince Lombardi Trophy after 51 years.

Though this pairing of teams with such disparate title-game histories is striking, it's not exactly uncommon. Here's a look back at some of the...