
In this/that connection
Contextual Relevance
Use it to link relevant facts or arguments to what's being discussed.

Regarding the budget cuts, I have some concerns in this connection.
Sense of Continuity
It's good for continuing a train of thought, especially after a pause or new topic.

Let's resume our meeting — in that connection, the marketing strategy needs revising.
Clarification Cues
Signal that you're providing more info or explanation on the previous topic.

About the new policy changes – I'd like to add something in that connection.
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