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Items are only displayed to the users once the full pipeline - with exception of Search Tagging - has run through. For details on the search tagging delay, see the Filtering step.
Configuration
The steps to be executed is configurable partially on a per-project basis and partially for each subscription. For built-in enrichments, the Processing Config is used to enable and disable those steps.
See the documentation on the various enrichments for how to make use of the various enrichment options.