Yes you cut them at the solder pads which are every three leds. They sell connectors for the cut sections, or you solder wires onto those pads that are left.
I soldered mine with wires to use inside of my passenger cars. I put them on circuits to prevent over powering them and to control their brightness.
There are plenty of posts about this in the electrical forum. Henning's trains sells a control board for inside of cars too.
