I can't speak for Raids as obviously we have no experience with them, but for Strikes I can say that if you are in a matchmaking lobby for long enough without finding anyone it will put you in a game by yourself. This is how I was able to solo Devils Lair; it didn't find me anyone to play with so it put me in solo.
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This happened to my gf and I as well. We were in the MM lobby for a while, and it finally started the strike with just the 2 of us.