L7 were supposed to continue their reunion tour with US and Australian dates, including SXSW, but they sadly had to cancel all upcoming dates due to a family health emergency. The band writes on Facebook:

L7 regret to announce that due to a family health emergency of a private, non-trivial nature, we will have to postpone our upcoming U.S. and Australian tour dates. Although some of the shows were just very recently announced, LIFE HAPPENS and when it does you have to step up and take care of business for the ones you love.
Speaking of some other ones we love (YOU) … this is just a postponement. We plan to see you in 2016, just a few more months down the line. In the meantime, stay tuned here. We will continue to post fun stuff and read your beautiful and sometimes hilarious comments.
Thanks for your understanding! With much love and appreciation,
L Fuckin’ 7

Regarding SXSW and the other Texas shows, L7 wrote in the comments "Yes, with much regret Texas is also postponed. We'll see you soon though!"

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