Using the Trim Vectors tool

This came up as a request on the Facebook group which made its way to support:

re-work the geometry so that the hat of the mosquito is overlapping the outline of the state of Texas.

First select everything which you wish to work w/

zoom in, and choose the Trim Vectors tool:

click on each line segment which will not be needed:

Until one arrives at:

Select all of the line segments which make up a desired outline:

and use the Join Vectors command to close them:

Repeat for each piece of geometry which needs to be closed:

Repeating until one has all geometry closed: