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The phrase "and encompassed a total" is correct and usable in written English.
It can be used when summarizing or describing the extent or scope of something, often in a quantitative context.
Example: "The project was extensive and encompassed a total of five different phases, each with its own set of challenges."
Alternatives: "and included a total" or "and covered a total".
Exact(6)
The burial site of St. Albani Church in Odense represented an urban population and encompassed a total number of 172 graves.
The test cases included five normal cases and 15 cases with colonic polyps, and encompassed a total of 27 polyps ≥6 mm, with 12 and 15 polyps 6 9 mm and ≥10 mm, respectively.
The initial source dataset used for the annotation and primer design was version 2.0 of the Rice Genome Annotation Project (RGAP) (http://rice.plantbiology.msu.edu/) and encompassed a total of 2508 24877 unique) TF genes.
It was composed of four nahiyas ("sub-districts") (Jinin, Sahel Atlit, Sa'ra, and Shafa), and encompassed a total of 55 villages, including Haifa, Jenin, and Baysan.
These included one on 13q12-q13 and two on 13q13, and encompassed a total of 30 SNPs.
Plant samples in dataset 1 were spread across two subfamilies (Carduoideae and Cichorioideae) and encompassed a total of 11 tribes of the family Asteraceae.
Similar(54)
Water sampling and testing encompassed a total of 445,638 wells in 16 provinces from 2001 to 2005 (Table 1).
The comparison between microsphere-derived perfusion and ASL thus encompassed a total of 24 brain slices.
The index of association (IA), measuring the extent of linkage equilibrium, was significantly different from zero for group A but not for B and C. Seven populations encompassed a total of 82 strains for which complete sequence data were obtained.
In terms of allocation of patients into groups according to their serum apelin-36 values and following the definition of the 25th, 50th, and 75th percentiles, all three groups encompassed a total of 50 patients.
Three major clusters termed divisions I, II, and III, each supported by a bootstrap value of 99 encompassed a total of 113, 26, and 4 independent isolates.
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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