European Southern Observatory Digital Sky Survey DDS2 Red images centred on four representative examples of analysed systems. The field of view is 5 × 5 arcmin, north is up and east is left. Stars are labelled, and exoplanet host names are preceded by an asterisk. Arrows indicate modulus and direction of Gaia proper motions. The four representative types are: (a) a resolved physical double identified in our Gaia search and with a WDS entry, (b) a resolved physical double found with Gaia and not in WDS (but reported by Gaia Collaboration 2021b), (c) a close physical double with a WDS entry (ρ = 0.31 arcsec) but not resolved by Gaia, and (d) an optical double in WDS but not identified in our Gaia search.