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The phrase "and the second did" is correct and usable in written English.
It can be used to refer to a second action or event that occurred, often in a comparative context.
Example: "The first experiment yielded inconclusive results, and the second did provide the clarity we needed."
Alternatives: "and the second one did" or "and the second instance did".
Exact(8)
Kotkin argues that a leftist revolution of one kind or another was likely to take place in Russia in 1917, but there did not have to be two of them, and the second did not have to be of the radical Communist variety.
They attempted two scenarios: the first had Canada joining the TPP as a member and the second, did not have Canada joining the TPP.
Two of these people did not complete the sessions, with one giving personal circumstances as a reason and the second did not feel that the therapy suited him due to its emphasis on feelings and thoughts.
The justification contained in this passage never mentions economic goods like oil or political issues like Israel, most notably because the first was not relevant at the time and the second did not exist.
The first PCR product encoded asp f9 with one point mutation (aa position 218 M>V) and the second did not represent any known gene product (Fig. 1).
Figure 1 shows two examples tagged with annotations, where the first did not require fragmentation and the second did.
Similar(52)
That alone took five months, with teams working in three parallel editing rooms: one team did the first hour, the second did the second and the third did the third.
Something for Kate play two sets, the first running from old to new material, and the second doing the opposite.
For the oxidation of ethylene to acetic acid, Rahman et al. [9] suggested two routes one involves water and the second does not involve water.
The first control law takes the critical frequencies of the structure as input parameters and the second does not need any information about the displacement or the eigenfrequencies of the system.
The first argument is illusory and the second doesn't solve the problem.
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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