Drawing lines showing up outside cropped layout frame

[Sam Parish]

I am trying to layout some drawings for a project I am working on, I am using CAD image break lines to hide the edge of a detail then cropping the drawing frame to the correct size for the layout.

This looks fine at a small scale but when printed or zoomed in any lines that are hidden by the object or any fill become visible where they are cropped by the edge of the drawing frame as can be seen in the attached image.

Is there any way of preventing this other than resizing the frame or putting a blank fill over the top in the layout?