One of the free time options will be to look into political marriages. I don't remember what it's called exactly but I think it's the bottom choice. You need to select that a couple of times to be able to arrange a political marriage.
Do you know how many times exactly? Trying to get the legendary ending is very time consuming so I need to know if it'll be possible to have a political marriage and still get the legendary ending by giving up on some more LI invitations and events that are important but aren't as necessary as other invitations and events.