The following code is what I figured out as a solution for drop shadows on two coherent elements while preserving the intersection in plain CSS. This is especially useful for a toggle slide-up/-down function used on a page.
See the Pen Drop shadow for 2 elems preserving the intersection by Anselm Hannemann (@anselmh) on CodePen.
Feel free to use it on your page, fork it or leave a comment on the pen.
As a variant you could also use pseudo-elements to add the box shadows on the left / right side. Also, the code for positioning the coherent boxes is only for demo—not necessarily the best for your use-case.
Variant for a flexible handler
If you don’t know the exact width of the toggle button you can achieve the centering of it in a different way. Please note that this won’t work in older browsers like IE8:
Instead of setting a margin on the element, put a CSS transform on it (and don’t forget to add applying prefixes).
.block_toggle {
transform: translate(-50%, 0);
}