Your screenshot and your explanation don't make much sense. Layer 2 is showing Local Impact. Layer 1 appears before that, Layer 3 should show Layer 3 "WE BRING" ends at 10 frames. If the main comp is named Control and the Local Impact text layer does not show up then the layer is either trimmed, or something else is going on.
Press Alt/Option + Ctrl/Cmnd + ; to open Preferences and make sure Syncornize time of all Related Items is checked in the Main Section. Return to the 02 Text comp and make sure that the CTI (current time indicator) is over the Local Impact layer, then return to the Control comp and fine the 02 Text nested comp (pre-comp) and check the layer for any modified properties, an overlapping layer, or an out-point.