Having myself cogitated on that phrase, it seems to me that the best way to cajole is to persuade and the best way to persuade is by full debate.
I am advised that it will not be cogitating very much longer.
I shall cogitate a little on what she has said.
He is sitting there cogitating, reflecting upon the situation.
I am very happy to have further time to cogitate.
For many years, learned colleagues have cogitated on it and, until now, failed to find a way through the dilemma.
I understand that he has been cogitating over this speech for some six years, and it is indeed a welcome speech to-day.
The best thing for me to do is to cogitate.