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The phrase "and be projected" is correct and usable in written English.
It can be used in contexts where you are discussing something that is intended to be displayed or shown, often in a visual or metaphorical sense.
Example: "The images will be displayed on the screen and be projected for the audience to see."
Alternatives: "and be displayed" or "and be shown".
Exact(2)
Technology- Create a How-It-Works poster that describes how video images and sound can travel through space and be projected onto a screen in another state within seconds.
Inclusion criteria were strictly defined; in particular, patients had to have an Acute Physiology and Chronic Health Evaluation (APACHE) II score above 25 and be projected to require ventilatory support for longer than 14 days.
Similar(58)
Borrowing is going up and is projected to rise to £43bn, which is 3.2 per cent of GDP.
Val-Kill, Eleanor Roosevelt's retreat, is being renovated and is projected to reopen in July.
Sales were $60 million five years ago and are projected to reach $1.5 billion this year.
The population is now 43,000 and is projected to fall considerably further in the next two decades.
Climate disruptions to agricultural production have increased in the past and are projected to increase further".
It has now dropped to 1.5%, and is projected to remain the same for the next five years.
Gaming generated $60 billion by 2010 and is projected to reach $70 billion by 2015.
GDP rose by 4.1% in 2002 and was projected to increase by 5 6% in 2003.
The Social Democrats lost close to 10 percentage points and were projected to win only 19percentt.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com