or from the LMDB web screen, choose the particular system; from the main screen, there is the Advanced button with the drop-down option "Resynchronize Technical System from SLD"
Also check your background jobs are successfully running
SAP_LMDB_LDB_* -> this should synchronise any changes/updates on the SLD to your LMDB
SAP_LMDB_NOTIFY_LDB_*
If you think there is a problem with the above process, then follow the troubleshooting guide from SAP note
1592461 - Troubleshooting LMDB Notification Consumers
Also note that some scenarios in Solution Manager uses LMDB caching so if you think there is an inconsistency, it might be worth executing the report (via se38)
rlapi_manual_namespace_resynca
choose "Clear Cache" flag
Hope this helps!
Reward if you find this useful ;-)