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I'm not sure if it's that, because lily of the valley tends to spread into clumps, but it does seem like it is a deliberate plant in the Lilly family.
I'm thinking maybe a day lily? But I agree, that is an ornamental of some kind. OP, just wait and see whether you like it. If you like it, but you don't like it where it is, I bet it could easily be transplanted.
I agree with the general consensus that it's some kind of lily but there are so many different kinds of lilies you probably won't get a good ID on it until it has more mature leaves and the flowers come out. When they start blooming I hope you'll post some pictures of the flowers back to this thread. Once you have a positive ID you'll have a better idea if you want to keep them or dig them out.
I also agree with others, wait a year so you can see everything that comes up over this year's seasons ahead before you start eliminating plants. You never know what kinds of treasures might be in there.
My guess is that #2 looks like Tradescantia, otherwise known as Spiderwort. Very pretty purple flowers that do grow like weeds in Oklahoma but they're not. My daughter in Tulsa did rip hers out because they spread prodigiously. I thought they were quite nice.
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