I have guides in Adobe Illustrator that I can't move. They look like this:
I can't even select them. Any ideas why would that be? How do I move them?
Guides are not locked:
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I am not sure what you have there, but if they're sitting on a locked layer, they could be locked by the layer itself. Check your layers using F7 and see if any of these guides are placed on locked layer.
If guide options show unlocked, you're probably looking at another layer. A locked layer will lock any guides placed on that specific layer.
Not being able to select these guides is another indication they are probably trapped inside a locked layer.