Usage patterns
〈人〉とつながりがあるto have a connection with someone
I've had a connection with him since a long time ago.
〈事〉とのつながりを持つto have a link to something
This incident has a connection to the organization.
つながりを深めるto deepen a connection
We're doing activities to deepen our ties with the community.
つながりが強い/薄いto have a strong/weak connection
Their family-like bond is strong.