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Standard export
Checklist items are stored in the following Jira custom fields by default:
The above is true as long as the “Save checklist data to Jira custom fields” option is enabled in Global Configuration.
The above custom fields are not visible on any screen by default. If you want to see them in Jira, then please read how to add a custom field to a screen in Jira.
To export checklist items along with other issue data, please use the the Checklist Text field as it is easier to read for humans.