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"How can I continue work any longer?"

"How can I shall be working any longer?"

or simply: "How can I work any longer?"

I want to relate it to the future. I will be very grateful for help. Which of these construction are correct or not? Thanks a lot.
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neither of the sentences are correct.

the phrase "any longer" is not appropriate here. you use it in a sentence that you negate, for example:

I will not be working here any longer.

if I understand you correctly, what you are trying to say is:

How can I continue working here? or How shall I continue working here?
Thanks. But why can't I use "any longer" in this case? Is it possible to use only if I negate something? How I understand the modal verb "can" isn't using in the sentences which relate to the future, is it?

If I say: "How can I work hereafter? " Will it be correct?
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Hmm...But why can't I use "any longer" in this case or it's using only in negative way ? And how I understand it's impossible to use can with future tenses and it's implied that "can" relate to present and future, isn't it?

If I say : "How can I work hereafter?" Will it be correct?
Hi,

"How can I continue work any longer?" OK.

"How can I shall be working any longer?" Very ungrammatical.

or simply: "How can I work any longer?" The best choice. There is nothing wrong with this.

I want to relate it to the future. Perhaps you mean something like this. After my husband retires next year, how will I be able to work any longer? This is OK.

You might also think about the phrase 'no longer'. eg I can work no longer.

Best wishes, Clive
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Hi,

Happy New Year to you, too.

"How can I continue work any longer?" Let me add that 'work' here is a noun. It's like saying "How can I continue my class any longer?"

"How can I continue to work any longer?" Here, 'work' is an infinitive verb form.

Really, one could also argue that the word 'continue' makes 'any longer' rather redundant.

Again, Happy New Year, Clive
Of course. Thanks for your attention. See you later. Have a good feast!