The phrase 'duly settled' is correct and usable in written English.
It can be used when discussing proper or successful completion of something, and is often followed by the word 'matters'. For example, "The dispute between the two parties was duly settled and all matters were resolved."
It is to the credit of the director, Patrice Leconte, that this turn of events feels neither peculiar nor creepy; both men are at a loose end, and they duly shrug and settle into each other's life.
It duly set up a rollicking finale, settled in the end by Saracens' defensive brawn rather than any particular flash of genius.
After a plethora of back-room meetings and a discussion between the prime minister and President Oscar Luigi Scalfaro, the government and opposition settled for a common motion, duly passed on April 9th.
The Queen duly had Karim remain at Windsor, then when the party had settled into the Excelsior Regina hotel, wired Karim to come join them.
Macclesfield soon settled down to play the sort of neat passing football that is not too different from the Latics' own brand, and chances duly followed.
But this year, for the first time in 10 years, the waters have duly frozen but the snow has stubbornly refused to settle, turning the 0.78km² lake into a vast sheet of black ice.
The manuscript of Nocturnal Animals duly arrives, and with her surgeon husband away at a conference, Susan settles down to reading.
In the end, I settle for a cup-of-tea wake-up call (which duly arrives at 7.30am) followed by a cooked breakfast, and even then, I can't help feeling a little like a diva.
Settling his differences with Guntram, who again recognized him as heir, he duly took over Burgundy on his uncle's death in 592.
