If you mean the time for the activities in a trigger campaign's flow to reflect in the respective person's activity log, then there is no SLA or fixed time for it; generally, the trigger campaigns execute the flow for the qualified people in real-time (as soon as the triggering activity occurs) and the corresponding activities get reflected in the person's activity log at the same time in most cases as well. In cases, there are campaigns in the queue, the trigger campaigns are executed based on the assigned priority order (the default priority order of a trigger campaign is defined based on the step it has in the flow). Given that you've got sufficient permission granted, you can also override the default priority of a campaign.
I hope this answers your question. If not, please let us know in a bit more detail as to what you're looking for. Thank you!
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