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Most analysts will tell you if you don't know the score of the game, check the turnover differential. That is an excellent indicator of who won the game.
By all rights, the Texans should have won this game.
Ravens' QB Joe Flacco had two touchdown passes for one yard and 10 yards, but only 176 yards passing. This is on the heals of several comments to the media implying that he doesn't deserve all the criticism he gets. In the end, his comment about not being the reason the Ravens won if they did was proven right. (Read the actual quote here.)
The Ravens' best player, Ray Rice, was held to 60 yards on the ground and no scores.
The Ravens defense bent, but did not break. They allowed Texans' RB Arian Foster to rush for 132 yards and a touchdown, which is the first time a Ravens defense has ever allowed a 100-yard rusher in a playoff game.
Houston's all-world receiver, Andre Johnson, had 111 receiving yards, but no scores.
The difference in the game, as it so often is, was penalties and turnovers. The Ravens had neither. The Texans had three penalties for 20 yards and four turnovers.
What can be taken from this game is that you cannot win in the playoffs, no matter how well you play, if you keep giving the ball to your opponent.
Baltimore should feel fortunate to have won this game because they didn't play nearly well enough to have won.