“Talk it out” is more common in my experience.
talk something out
to settle something by discussion.
Let's not get mad. Let's just talk it out. Please, let's talk out this matter calmly.
Source: McGraw-Hill Dictionary of American Idioms and Phrasal Verbs, via TFD
There’s also an element of “tease out” to be aware of.
tease out something also tease something out
to carefully separate particular facts from a great deal of information
What has always been interesting for me is how you can tease out the reasons for an event as you review its history.
After a while, you learn how to tease out the errors hidden in texts.
Source: Cambridge Dictionary of American Idioms, via TFD
The implication is that an attempt will be made to resolve (or at least clarify) a complex topic through conversation. The speaker seems hopeful that over the course of a targeted dialog, certain elements will be pulled out and discussed with the end result of greater understanding of the issue.
Keep in mind that “sort of” is a universal hedge, there to inform you that what follows does not perfectly express the speaker’s mind and/or isn’t common parlance.
. . .we talk about a subject in depth and just sort of chat it out.