The majority of items in the LRCs can be borrowed for up to three weeks, however there are exceptions.
Look out for these stickers:
This sticker on the side of any resource means that items can only be borrowed for up to seven days. If you want to keep the item for longer you will need to renew it.
Reference only means the item cannot be taken out of the LRC. You can still read the item in the LRC but it cannot be taken home.