I have recently added some albums to my iTunes playlist but when I sync my iPod, the new albums do not transfer across to my iPod

What exactly happens when you try to sync?

Was the iPod previous synced to another iTunes library/computer?

Have you successfully synced from this iTunes library/computer before?

If so have you done anything like update iTunes on the computer since it last successfully synced?

Do the songs play in iTunes?

Does any media now sync to the iPod?

Do you have the right boxes checked to sync?

iTunes: Syncing media content to iOS devices and iPod

Try syncing using the manual method

Managing content manually on iPhone, iPad, and iPod

Do you have any Restrictions (Settings>General>Restrictions) set that would prevent syncing those songs? (iTunes purchases only)