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The phrase 'are lagging behind' is correct and usable in written English.
It is used to indicate that someone or something is not progressing as fast or achieving as much as something else. For example, "Many of our student's test scores are lagging behind those of other schools."
Dictionary
are lagging behind
verb
To fail to keep up (the pace), to fall behind
Exact(60)
Latinos are lagging behind".
Wages are lagging behind inflation.
Not all sports are lagging behind, however.
The men are lagging behind the ladies.
"They are lagging behind the crowd.
Again the politicians are lagging behind.
But Russia and the rest of Europe are lagging behind.
Other regulators are lagging behind Mr. Rubin's team.
The "rules", the law, are lagging behind justice.
But governments and their laws are lagging behind.
Yet governments are lagging behind on preventive health care.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com