Hello Alec

Thanks for posting in the community! You can keep these shapes together using the 'Group' function. Lucidchart lets you group objects/shapes together so they can be treated as a single object. To group objects together: Select the objects you would like to group. Press Ctrl + G (Cmd + G if you have a Mac) click on the group button in the properties bar or select “group” from the right-click menu. This will ensure the shapes are grouped together and act as a single object. Hope this helps! Let me know if you have any questions!

Hi Alec

Maybe this would solve your problem: after a copy of a container it got demagnetized. All you need is to magnetize it again.