Way to view layer without seeing later layers?

I am not sure if these is a setting I am not using correctly or if this is a limitation, but I need some help. When I have a text layer lets say from 0-10 seconds and a new text layer at 10-20 seconds, I see both layers on the screen even if the timeline is at 5 seconds. It would be much better if I only saw those layers that were at the time the timeline was at. Does that make sense? Is there a way to avoid seeing all layers on the screen at the same time even when they do not actually overlap in the timeline?

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