It's certainly okay to end a sentence with an infinitive, as in your example. In the past, it was considered bad form to end with a preposition alone, but it's now acceptable.
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AnonymousHello,Yes, you can end a sentence with to, but your examples end with work - not to.
Can you end a sentence with TO?
For example,
You have to show your willingness to work.
Can you end it with TO WORK?
Thanks.