The Contact Remarketing Pressure Interval is essentially an ignore period. We don't halt or delay the campaigns in a series for this period, they are completely suppressed.
How it works
Here's an example of how it works:
You have a three-stage trigger, setup as the following:
First email sends after 30 minutes.
Second email sends after 48 hours (2 days).
Final email sends after 168 hours (7 days).
You have set the Contact Remarketing Pressure Interval to 10080 minutes (1 week).
In this case the first email would be sent (assuming the person hasn't been emailed in the previous week), but the second email would be suppressed and never sent. The third email is a bit trickier, because it may be sent depending on how exactly the times fall within the system (one works on minutes, one works on hours).
In this case, it would be better to adjust either the trigger or Contact Remarketing Pressure Interval periods to avoid conflict and guarantee that it was or was not sent.
You can choose to send a trigger regardless of the interval setting by selecting the appropriate check box on the trigger options page.
There is also the option to ignore the marketing pressure on stages of a trigger programme. This applies the interval setting to decide if someone should be added to the trigger, but once this has been passed any stages of that trigger are sent irrespective of the interval.