All quest groups (diads or triads) start with the Main, non-repeatable quest, which unlocks the repeatable quests.
Almost, but not all, diad/triad repeatable quests can be performed and turned in at the same time. This is one that can.
Quest Type
Needs
Main
Use Strong Rope to capture 10 Lazy Soldiers They could be hiding in a Suspicious Grass Mound
Daily
same as Main
Public
same as Main
Notes
Spoiler Alert! We have hidden this information so that you have the choice to try it on your own, or have the advantage of knowing how the sausage is made...
Click on the Suspicious Grass Mound. If the soldier that appears says "Ah! Give me a break!", then quickly target him and use the Strong Rope. If he says "Want to catch me? I'd like to see you try! Haha!" he cannot be targeted.
Daily Quests are repeatable up to a total (for all Daily Quests) of 10 times per day. The count can be reset to zero by purchasing and using a Daily Quest Ticket from the Item Shop (for 39 ($1.16)† ) or from any Phirius Merchant (for 780 ).
In all other zones they do not reward XP, TP or Gold, only Public Event Points. In all other aspects they are the same as a Daily Quest (except for the infinitely repeatable part and the rewards). Public Event Points contribute towards the completion of Regional Quest objectives, which in turn rewards a number of Energy of Justice commensurate with your amount of participation in the Regional event.
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Main Quest Page: A Mess
Strong Rope to capture 10 Lazy Soldiers
Daily Quest Ticket from the Item Shop (for 39
($1.16)† ) or from any Phirius Merchant (for 780
).
Dual-Function Daily Quest Potion.
Old Bag (hence the common sobriquet, Bag Quests). In Redhill Mountains, each repetition of [67][Public] Freedom Fighters rewards an 
Ancient Memento.