Hi @Gilles, I think the feature you want is under Survey Options -> Inactive Surveys -> Custom Inactive Survey Message
You'll have to first create the message in your library: Library -> Messages Library -> New Message
For personalized links, I'd also update the message under Survey Options -> Survey Protection -> Show a custom message when a respondent revisits a previously completed link.

I would also ask that we do this for expired 2 way SMS surveys as well.

I was not able to find the following suggestion from Clair J made in December 2020
"For personalized links, I'd also update the message under Survey Options -> Survey Protection -> Show a custom message when a respondent revisits a previously completed link."
Has the Survey Options tab been revised so Survey Protection is no longer available?