Daily quests are re-set each Monday at 2:00 AM Eastern Daylight Savings Time (or 1:00 AM Eastern Standard Time).So it looks like that when you have a daily quest in your journal from another day and you finish it and go to turn it in and the quest giver has the same quest that day for you, you cannot repeat it.
I took a pledge last week and yesterday tryed to do it twice and did not work, it also happens with dailies like delves but i did not get what it was that sometimes if you finished yesterdays quest it did not give you a new one but I guess is the same.
Please note that Daily Quests such as the ones in Wrothgar are re-set at 2:00 AM each and every day. I don't know which time zone is referenced for the EU mega-server. Nonetheless, if a Daily quest in a character's possession has been shown in the Journal for more than a week, then it was re-set several times before your attempt to complete and submit it.Ok I red it but I did not remember, I play in pc eu.
The dailies from wrothgar are less than a week old so that was before the reset but I think that the pledges where more than a week old from before last patch that was on monday but I am not 100% sure, I looked for a list of daily pledges and crypt of hearts 1 was last on 11 august so according to the calendar they change at 8 in the morning so it was active during the reset it looks like everything would be correct.