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The phrase "in an ordered sequence" is correct and usable in written English.
You can use it when you want to refer to a list or arrangement of items that has been arranged into a particular order. For example, "The tasks must be completed in an ordered sequence in order to get the best results."
Exact(8)
The memory control group underwent a one-day training workshop in the method of loci, a technique used to memorize items in an ordered sequence [59], [60].
Although several studies have described that during myofibrillogenesis, the expression of proteins occurs in an ordered sequence [ 4], the sequential onset of the individual isoforms within a family of sarcomeric proteins is poorly characterized.
A genome is the sum total of all of our genetic information, encoded in an ordered sequence of 3 billion nucleotides.
Moreover, phosphorylation of S431 and T432 occurs in an ordered sequence over the cycle of the in vitro KaiABC oscillator [26], [27].
According to the hypothesis, the onset of atopic manifestations tends to come in an ordered sequence, for instance eczema tends to be followed by asthma.
And from such approaches, it is now clear that dozens of endocytic proteins are recruited in an ordered sequence, organized as coats.
Similar(52)
Each single-copy organelle occupies a defined cellular location, and duplicates and segregates in a highly ordered sequence during the cell cycle [2] [4].
Alternatively, oral teeth develop in a highly ordered sequence mediated by genes.
They undergo modifications such as sulfation, insertion of alpha linkages and other reactions in a highly ordered sequence-specific manner.
From neocortex (Thal Phase 1), Aβ as detected using silver stain and 4G8 appears progressively over time in specific connected brain structures in an ordered anterograde sequence [ 51, 37].
We present a new parallel algorithm for generating binary trees; it generates trees in A-order using A-sequences representation.
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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