Sure simply install mysql and apache on your laptop like you said. Dont forget php. :P
First you need to export the mysql database for your forums on your desktop computer. I use phpmyadmin. You can also export via IPB btw.
Not sure what version your running but in 1.3.1 login to the admin center and open SQL Management. Then choose mysql backup. Just make sure "Skip non essential data?" is set to no. You want everything.
And copy all the files to your lab top and the backuped mysql database and now you need to import it. Again using phpmyadmin. On your lab top of course.
If you dont know how to do all this stuff just allow me access and I will do it for you. If you wish I mean. Or I will explain in depth if you wish to try yourself.
Now, of course on your lab top for mysql make sure its the same database name, user, and pw. All info needs to be the same. Or of course you would need to edit the config.php for IPB and the mysql config if not. So I highly recommend you use all the same information.
Then once you do all of that then just go to
http://localhost/forums/index.php?act=idx on your lab top and everything should be good to go. Should be excatly the same as your desktop now.
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