Looks like I never a made good job - on the asker's recent, previous question of 'poursuivi au titre des *mesures* de faillite personnelle..' - of explaining and drawing a parallel with the preliminary stage of a 'mise en demeure' as a statutory demand that could in fact come in handy for translators' and interpreters' unpaid bills.

In this 'notice to attend' instance, there are also contempt of court-like sanctions for default, as with a court summons.

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Note added at 1 heure (2021-03-19 13:07:33 GMT)
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...I never made a good job..

French term (edited): une mise en demeure de signer (l'acte authentique en l'office notarial ..._

both instances of "mise en demeure" are about one and same thing:

a formal request from one party to the other to show themselves in the notary's office and sign the contract

in the first occurrence of "mise en demeure", it's about the conditions that need to be satisfied before "faire une mise en demeure de signer", i.e.

1- les conditions suspensives seraient réalisées et les documents nécessaires à la perfection de l'acte obtenus => there are no more obstacles to signing the contract

2- l'acte authentique de vente ne soit pas signé dans le délai convenu => still nothing happened.

the second instance of "mise en demeure" is about the timing, the date and hour given to the other party to sign the contract - this "formal request to sign the contract" will specify a date and time for attending the notary's office in vue of signing the contract that will be between 5 and 10 days from the delivery of this "formal request to sign" (delivered in person by "un huissier" at the elected domicile of the other party)



Cette mise en demeure sera faite à jour et heure fixés entre le cinquième et le dixième jour ouvré suivant la réception de la mise en demeure.
=
This formal request will be made for the signing to be done at a set date and time, between the fifth and the tenth working day following the reception of the formal request.

Note: if the ST says "la réception" I wouldn't change that to "delivery" - as it's far from "being the same". There is a whole potential minefield better to be avoided, as there are different theories and practices as to when the other party is "presumed to have been informed" (when you put the envelope in the post? when the envelope was delivered? When the envelope was opened? When the letter was read?...)


You could see an analogy with "une mise en demeure de payer" - formal demand to pay

Yes, there are some parts "left implied" - because they are obvious from the context.

French term (edited): mise en demeure faite à (+ time element)

mise en demeure faite à (+ time element)
>
"notice drafted so as to include" (+ time element)

I've changed the text of the question because I'm not sure that the parsing is right.

The source text is neither a mistake, nor is it drafted clumsily, as there are several occurrences on the Net from reliable sources, like public bodies.

In any case, cette refers to the previous mise en demeure de signer l'acte authentique. Bearing this in mind and the fact that it can't be a mistake, I understand cette mise en demeure sera faite as meaning that said notice will be drafted in such a way that it will state when the signing must take place. To my mind, while faire une mise en demeure can mean "deliver a notice" in another context or indeed at the end of the sentence quoted by Mpoma, here (at the beginning of the sentence), it means "drafted in such a way that (it will state etc.)". And faite à reinforces my understanding. If "delivery" was meant, we would have something like faite par pli recommandé.

Cf. Cette mise en demeure sera faite avec un préavis de cinq (5) Jours Ouvrés. (https://www.loire-atlantique.gouv.fr/content/download/33795/... See also: (Le compl. désigne une œuvre d'art, un ouvrage intellectuel). ➙ Composer, créer, écrire. Faire un poème, un sonnet. (Le Grand Robert de la langue française).

"Drafted so as to include" does sound clumsy and may not be the word English-speaking lawyers and sollicitors will use here, but I think that's the idea. "This notice shall provide that..."?