If you have a document with multiple layers, you can move objects between layers using the Layers command under the Page tab.
Select the object you want to move from one layer to another and in the Page tab, click on Layers, and choose Move Object to Layer.
The current layer for the object will be denoted with a check mark, scroll to select the new layer to move your object to.
If you want to rearrange the order of layers you can do that in the Manage Layers dialog.
Select the layer you want to move up or down in the order. Learn more here.
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