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You can change the shadow parameters for objects in the details panel to affect how they receive and cast shadows.
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There is a limited distance on how far and accurate dynamic shadows will cast. This is for performance reasons. Everything in the level cannot be dynamically lit at any distance all the time. You can set the max distance though which is 20,000.
This is also where stationary lights come in as a good balance between the two. Static shadows can be seen from any distance since they are baked into a lightmap. You can see the max dynamic distance and then as you get further away the static shadow will take over.
Thank you!
Tim