Not only can one connect two strips with these, but you can also cut the cords in half and use them to feed power to the strips. Seem well made and easy enough to install. Would buy again.
I used a couple of packages of these connectors to connect 16 pieces of a 16 foot reel of photo correct leds, thereby making a 1 foot square studio light for taking pictures of textiles for our website. The connectors are fairly easy to use, and most importantly they are reliable. All 16 led strips came on the first time, and are still working. No bad connections. The light I built is on aluminum foil over cardboard -- a prototype on which I will base a much better quality light in future now that I know how well it works.