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The word "necessitate" means "make something necessary". For instance:
The explosion necessitated installing a new kitchen.
Is there an equivalent word to mean "make something desirable (but not necessarily necessary)"? For instance:
The ordeal [made desirable] a week off work.
You can get closer with warrants:
The ordeal warrants a week off work.
Though that is more deserves than desires.
From the way the sentence is structured I don't believe an emotional appeal can be made in it, as something like:
The ordeal allures a week off work.
Sounds rather forced, and can be confused to mean things like:
The ordeal desires a week off work.
I don't believe you're looking for the ordeal itself to pack some bags and go on holiday.
From my perspective you get more flexibility by rearranging your sentence:
The ordeal made a week off work adjective
Where adjective could be many things: desirable, inviting, enticing, and many others
The most accurate verb for this is endear:
[Merriam-Webster]
1 : to cause to become beloved or admired
// her generosity has endeared her to the public
Although it's use would be a bit strange with the example sentence, a slight paraphrase would make it more normal:
The explosion endeared in them the idea of installing a new kitchen.
In the right context, the example sentence could be interpreted as being not a matter of necessity but desire.
For instance, the explosion damaged the living room, requiring its renovation, but didn't touch the kitchen. Although there is no need to install a new kitchen, the fact that they had to renovate other parts of the house, led them to desire the renovation of this part of the house too.
Of course, a more natural version of this might be:
Renovations to other parts of the house endeared in them the idea of installing a new kitchen.
The verb beckon comes to mind
intransitive verb
1 : to summon or signal typically with a wave or nod
My master beckons. He … beckoned to the other generals to come and stand where he stood. — H. E. Scudder
2 : to appear inviting : ATTRACT
the frontier beckons
transitive verb
: to beckon to beckoned us over to their table
