Sorry if I have misinterpreted something in the thread above, but ...
What ID were you using when you first bought those Kalahari books (presumably on the old laptop)?
If it was an anonymous 'not registered with Adobe' ID then you may be stuck (see below).
Otherwise, you should still be able to read them on the new laptop as long as you use the same ID used when you bought them on the old laptop.
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This is a vicious trap that Adobe lays for unsuspecting customers.
When you register 'without ID', ADE creates an anonymous/implicit ID with limited powers (eg can't be used to share with other devices).
Whenever you first load a DRM book, that copy of the book is associated with whatever ID the computer is registered to at the time.
Any book you load while this anonymous ID is active gets associated with that ID, and can't be read on any other device.
When you properly register your computer with a real ID, that old anonymous ID is lost.
Now you don't have any devices that can read the book.