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The Rockets lost significant amounts of production in a couple different areas due to injuries to three key players.
Jordan Hill missed a couple weeks in late February and early March due to an MCL sprain, per the Houston Chronicle. That meant the Rockets had to try to make up for about five rebounds per game.
They also lost a great deal of scoring and point guard guidance due to the injuries to Kyle Lowry and Kevin Martin. Martin missed much of the season due to a shoulder injury. He tried to come back late in the season, but, as Jonathan Feigen of the Chronicle tweeted, he couldn't quite make it back.
That meant the Rockets lost a great deal of scoring from a player who averaged 17 points per game in his 40 games this year and 23.4 points per game last season.
The loss of Lowry was also a huge hit. He missed time due to an infection in the latter part of the season, and then was out the last couple games due to a groin injury that would require a sports hernia operation (via the Chronicle). Lowry had stepped up in a big way early on to guide the team at the point, averaging 14.3 points and 6.6 assists per game.
The Rockets struggled after Lowry came back from his infection, going 3-6. Then, after he returned to the injury list, the Rockets lost to the Miami Heat, succumbing to elimination.
To make the playoffs next season, the Rockets will need their key players to stay healthy. They can't afford to lose the amount of scoring that they did from the injuries to Lowry and Martin.