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You can use the Direct Selection Tool (white arrow) and merely toggle Outline/Preview Mode. In Outline Mode you can click drag around anchors without having objects selected because you've clicked a fill. Command/Ctrl+y to toggle the modes (View > Preview/Outline) You don't have to switch back and forth between preview and outline. You can simply switch ...


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You can do this using the Lasso Tool (Q) to make your selection of anchor points. Now use the Direct Selection Tool (A) to move the anchors. Here's a simple GIF showing the process;


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