If everything else is kept the same (never true), that would be correct. Like everything else in this area of research (which depends upon NHST), you will find conflicting studies if you search. Here are some layperson sources (I didn't bother looking deeper):

http://observer.com/2017/04/study-finds-running-extends-life...

http://www.webmd.com/fitness-exercise/news/20140401/too-much...