There are a number of ways to override the display of an element.
It may not always be clear which method of override takes priority over another method, that is, which method "wins" in determining the display of the element. The following list may not cover every scenario, but it includes some common overrides. (1 is the highest priority and 10 is the lowest priority.)
Linework Tool
Override Graphics in ViewBy ElementHalftone
Graphic Display Options - Silhouette Edges
Override Graphics in ViewBy Element
View Filters
View Depth - Beyond Line Style
Phasing Graphic Overrides
Visibility/Graphic OverridesOverride Host LayersCut Line Styles
Visibility/Graphic OverridesProjection/Cut Lines
Project Object Styles