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"the index which" is grammatically correct and can be used in written English.
It is typically used to introduce information or a concept that has been previously mentioned or discussed, and provides more specific detail or clarification. Example: The research paper includes a detailed analysis of the data, the index which highlights the key findings of the study.
Exact(60)
They were all on the Index (which subsequently was abolished).
On the "environment" category of the index, which measures things like temperature, here too Lagos fails.
Economists had expected the index, which had fallen for five months, to drop again, to 105.
It was one of six airlines put in the index, which has 20 stocks.
The index, which has shed 2.5percentthis yearar, is at the lowest since Dec. 17.
The index, which started in 2001, tracks signed contracts to buy previously owned homes.
The index which most defines the director's authority is the profitability of his last film.
The index, which closed on Friday at 850, traded as high as 858 during the day.
The index, which measures investors' expectations for the economy in six months' time, has fallen for eight consecutive months.
Excluding petroleum, the index, which gauges the cost of goods and raw materials from abroad, rose 0.4percentt.
The index, which is listed under the ticker symbol NNZ on the American Stock Exchange, is not a tradable security.
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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