There is no more or less healthy, both are great exercises.
Healthy is much more than a sport modality.
Your eating and sleeping habits is much more important than the type of exercise.
And in the case of most people, it's possible to schedule the two activities in the same training program. You can lift and run, you can lift and fight, you can lift and surf, you can lift and play soccer... whatever.
You can have the benefits of being strong and have great conditioning.
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