Unfortunately, OS X changed how it reports some system characteristics. When you booted into 64-bit mode (via the update — e.g., when upgrading to OS X 10.7/Lion), it made LicenseControl think it's a different system. 'Though we released a version of LicenseControl that will prevent this issue (v4.500 on 2011-Mar-08), it takes time for software Vendors to release builds using a later version of LicenseControl (with re-testing, and all that).

There are three possible solutions:

• reboot into "the other" mode (e.g., boot into the currently licensed 32-bit mode), use LicenseControl's "Find this Application's License and Activate It" operation to re-activate the license (or supply the License ID and activate it) then de-activate the license, reboot back into "the other" mode (e.g., back into 64-bit mode) again, and activate the license by supplying the License ID.
• check with the licensed product's Vendor to obtain a newer build of the product (i.e., one that's built using LicenseControl version 4.500 or newer) and install that build of the licensed product
• create a problem report and we'll switch your license

If you're going to switch between 32-bit and 64-bit modes, you can prevent this issue by first de-activating the license prior to switching. If you're going to constantly be switching back 'n forth, you should get an updated product build from the licensed product's Vendor (i.e., one that's built using LicenseControl version 4.500 or newer).