Weaving Question! - Weaving in ends

I finished my second scarf on the loom. It looks exactly like the first, but longer. Bad Self Portrait while at desk: Bad photo of scarf draped over piano. So here is my question - how do you weave in the ends of weaving? It is a loose weave - which means that if you simply "follow the path" the double thread shows. And the two colours makes it even harder to "hide" it up the side and....ARGH! I am not a perfectionist when I do anything "crafty." Since my main motivation of doing such activit...