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"one common end" is grammatically correct and can be used in written English.
It means a shared or common goal or purpose. Example: Despite their differences, the two political parties were able to come together for the common good and work towards one common end of improving the economy.
Exact(1)
That is, two edges (p, q) and (r, s) are said to be adjacent to each other if they have one common end vertex.
Similar(58)
We worked together toward one common goal -- to end breast cancer by the end of the decade.
Whether they end up using those funds to acquire each other, new innovations or both, there is one common goal: to drive margin growth.
Where there is one common all-overriding end there is no room for any general morals or rules....[W]here a few specific ends dominate the whole of society, it is inevitable that occasionally cruelty may become a duty, that acts which revolt all our feelings, such as the shooting of hostages or the killing of the old or sick, should be treated as mere matters of expediency...
Embedded microprocessor applications all share one common trait: the end product is not a computer.
Heart failure is one of the common end stages of cardiovascular diseases, the leading cause of death in developed countries.
Heart failure is one of the common end stages of cardiovascular diseases with a poor prognosis highlighted by a 5 year mortality of approximately 70% [ 2].
The second group (C2) has one common boundary at one end of the HMR but are longer either in keratinocytes (0.79% of the genome) or in fibroblasts (0.73%) [ 22].
Second, one end of the recombinant sequence matched one common allele and the other end matched a different common allele when all three were examined in a contig.
But there is a consensus that autism probably has more than one cause, its symptoms the common end point of different biological pathways.
Screening a mutant resistant to substrate and end product is one common strategy for strain improvement by classical mutagenesis.
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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