Closely allows having up to two active campaigns simultaneously on each connected LinkedIn account. However, It should be noted that the same type of action (for example, connection request or follow-up message, etc.) in the second campaign will be performed only after those actions were finished in the first campaign.
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It means that the campaign that was launched first will send its connection requests first. When it finishes sending connection requests, the second campaign will start.
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It's important to understand that when you include the same email account in campaigns, those campaigns will follow the same logic.
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The image below shows an example of the case when you launched 2 connection campaigns on the same LinkedIn account