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Discover LudwigThe phrase "by the second week" is correct and can be used in written English.
You could use this phrase when describing a timeframe in which something needs to be done. For example, "I need all the paperwork submitted by the second week of this month."
Exact(1)
The BGA activity of the casts increased to about 73%% in the PUD and PPD storage by the second week.
Similar(57)
That changed by the 1950s.
By the 1970s, Mount Sinai owned 1212 Fifth Avenue.
The Mocenigo fortune dissipated by the 1930s.
By the early 2000s the area was struggling.
By the 1980s the situation had reversed.
But by the mid-1990s, the surge ended.
The deposits were exhausted by the 1920s.
Textile production shrivelled by the 1970s.
By the 1950s, though, automats were struggling.
By the 1980s, though, that had changed.
More suggestions(22)
by the second weeks
by the tenth week
by the second month
by the second tuesday
by the second fortnight
by the second monday
by the second wednesday
by the second day
by the second year
by the second hour
by the first week
by the 2nd week
by the next week
by the third week
by the second process
by the second test
by the second phase
by the second constraint
by the second treatment
by the second approach
by the second male
by the second equation
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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