You can do follow ups.

In order to send a message to anyone, you must have him as your 1st connection.
That means you would first have to connect to them.

Once they are your 1st (either achieved through Linvo or from your prior history), you can send them messages directly.

In order to do it straight after the connection request, all you need to do is click the "Add Next Step".
In case they respond(send a message) to any of your messages or to the connect request, we stop sending them messages.

Add Next Step

As you can see you can add steps (add step) after the message.

Message after connect
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