Existence of closed geodesics in negatively curved locally symmetric spaces

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A closed geodesic in a Riemannian manifold is a geodesic which intersects itself in some point.

My question is

Does every negatively curved, locally symmetric space of finite volume have a closed geodesic?

This statement is said to be a well-known fact in an article I read, however, I have not been able to find a reference in standard books such as Helgasons book on symmetric spaces or Wolfs book on spaces of constant curvature.

Is it true? Why?