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NEW York is entering the new year riding a crest of good news.

On average, we’re living longer and healthier lives than ever.

We’re also the safest big city in the nation, and safer from crime, fire and traffic fatalities than at any time in modern memory.

And we’ve got good reasons to hope that these trends will continue in 2012.

Let’s start with life expectancy.

Babies born in New York City in 2009 can now expect to live an average of 80.6 years.

According to the city’s Department of Health, that’s almost three years longer than newborn life expectancy was in the year 2000; it’s also nearly two-and-a-half years longer than the comparable national average.

Life expectancy for adults is up, too; for 40 year olds, it now averages 82 years.

That’s nearly two years longer than life expectancy for 40 year olds nationwide.

Our lifespan gains are also greater than those that people living in counties with other major cities across the nation have seen.

There are two big conclusions to draw from this hopeful news.

The first is that many of the aggressive steps we’ve taken to improve public health — such as encouraging New Yorkers to quit smoking and also to get tested and treated for HIV — are big factors in adding years to our lives.

And the second thing to remember is that these life expectancy figures are averages:

If you carry out those New Year’s resolutions to watch your weight, exercise and stop smoking, the chances are that you can live even longer.

There’s lots of good news on the public safety front, too; in fact, the New York Police Department and Fire Department of New York have just given New Yorkers the safest decade on record.

The number of murders in our city last year was the third-lowest ever.

It was also the 10th consecutive year that we’ve recorded fewer than 600 murders.

While even one murder is one too many, keep in mind that before 2002, we hadn’t seen as few as 600 murders a year since the early 1960s.

And during the past 10 years, we’ve decreased crime overall more than 34 percent.

We’ve also just closed out 10 years with an average of 88 fire deaths per year; that’s by far the safest decade since the FDNY started keeping records.

Over those 10 years, we’ve made average response time to fires 20 seconds faster than it was during the previous decade.

And during 2011, ambulances cut their average response time to life-threatening emergencies to six minutes, 31 seconds — a new record low.