Is this perennial plant invasive?

Question

I am a new gardener, and I am not sure if this perennial (I don’t even know what it is) is invasive

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Answer 1

That is Liriope or lilyturf. Lioriope muscari is not invasive but its cousin, Liriope spicata spreads rapidly. I think you have L. muscari but check images of both and decide for yourself. They can be tricky to tell apart.