When indexing products via the Magento extension, you may notice these 2 attributes in your records called visibility_search and visibility_catalog. These attributes are related to the Visibility setting of your products in Magento and they indicate if a product should appear in the search results and/or the catalog pages.
To update this value, you need to head to your product's settings page and toggle the Visibility setting as seen below:
If the product is set to appear in the catalog or the search results pages, the value for the respective attributes will be 1. If the record is set to be hidden from either of these pages, the value for the respective attributes will be 0.
You can read more about these attributes and how to troubleshoot potential visibility issues on the frontend here: Frontend issues in Algolia's Magento Open Source and Adobe Commerce extension.