Dmitry from Lucidchart there. Unfortunately our product doesn't currently support a migration path from Cloud to Server, you will have to manually re-insert all the diagrams.
Now even after 2 years in 2019. Lucidchart still doesen't have a solution for migration from Server to Server as well.
Each diagram has to be done manually.
I also found a similar question from 2018 as well.
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