Connect RE has a setting that allows users to retain RE nonconstituent spouse records while syncing data from Core. To review this setting, users can navigate to Connect RE, Settings and review the Parents and Grandparents section:

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Raiser's Edge allows users to create nonconstituent records for individuals or organizations, this functionality does not exist in Core. Connect RE has the ability to retain the nonconstituent record state in Raiser's Edge for spouse records with the Parent or Grandparent role only.

This gender-based setting in Connect RE should retain the nonconstituent status of the spouse when the Raiser's Edge records are a exact match to the Core records. Core records missing gender or relationship linking to the child/student will not adhere to this rule and will upgrade those spouse records to full constituent records, for example.

Blackbaud recommends allowing both spouses to be created as full constituent records, since that most closely mirrors the Core database. However, if users choose to use this setting to only add one person in the couple as a constituent, they should select the gender that matches the majority of their heads of households, and understand that for any exceptions, a spouse record will be promoted, and should not be reverted back to a non-constituent relationship, as every time there is an update to the Core record, it will attempt to promote the record to full constituent again.  Users should also evaluate the gender specific limitation of this setting as it applies to their data in RE and Core.
If the setting in Connect RE is to create a constituent record for males, if there is a female-led household in Raiser's Edge, Connect RE will promote the male spouse from a non-constituent relationship to a full constituent.  

For more information see the Connect Raiser's Edge Users Guide