BOSTON – Ray Allen left as a free agent. Rajon Rondo is out for the season. Kevin Garnett is recuperating from an ankle injury.

With the core of the Celtics team that won the franchise’s 17th NBA title in 2008 otherwise occupied, Jeff Green led Boston back into the playoffs.

The Celtics’ swingman scored 34 points, including a 3-pointer with 45 seconds left to snap a two-minute scoring drought, to help Boston beat the Detroit Pistons 98-93 on Wednesday night and clinch the team’s sixth consecutive playoff berth.

“We knew we were a playoff team before the season started, despite the injuries and everything,” said Paul Pierce, the only holdover from the team that won it all in 2008 and returned to the NBA finals two years later.

“The playoffs is a totally different game; it’s nothing like the regular season. At least these guys will go out there and get their feet wet, see some shots go in, rebound the ball and get some experience.”

Pierce and Brandon Bass scored 17 apiece, and Bass added seven rebounds for the Celtics, who had lost two in a row and seven of their previous nine.

The victory, coupled with Philadelphia’s 88-83 loss to the Charlotte Bobcats, left Boston 81/2 games ahead of the 76ers with eight games to play.

It’s the sixth consecutive season Boston has reached the playoffs since the New Big Three was assembled in the summer of 2007.

Even with Allen gone and Garnett missing seven straight games with an injured left ankle, the Celtics are back in the postseason.

Boston is seventh in the Eastern Conference, two games behind sixth-place Chicago and 21/2 ahead of eighth-place Milwaukee.

“There was never any doubt in my mind or anybody in the locker room that we wouldn’t be in the playoffs,” said Jason Terry, who had 10 points and five rebounds.

Green came to Boston in the 2011 trade that sent Kendrick Perkins to Oklahoma City, but he missed all of last season after heart surgery.

Now he looks like the Celtics’ best hope of making a postseason run.

“Jeff’s a very, very good player, and I think (that’s) what you’ve seen,” Pistons Coach Lawrence Frank said. “He got off to a tough start this year and obviously he had major, major, life-threatening surgery last year. I didn’t like to see him do well tonight, but by and large every other game you pull for him, especially with what he went through.”

Green scored 13 points in the fourth quarter, and added six rebounds and four blocked shots in the game.

He has become one of the players the Celtics look to for big plays as the clock runs down, sharing the role that Pierce had occupied for more than a decade.

“I don’t try to take over games. We have ‘the Truth,’ ” Green said, calling Pierce by his nickname.

“We feed off each other. If it’s in my hands, I try to make a play. If it’s in his hands, he’ll try to make a play. We’re playing off each other.”

In all, the Pistons had 25 offensive rebounds and took 22 more shots than Boston. But Detroit shot 37 percent from the floor, including 17 percent from 3-point range, while the Celtics made more than half of their 2-pointers and 7 of 20 from 3-point range.