The use of definite article with phrases including "of" [duplicate]

Can we sometimes write the "of-phrases" without the definite article? I give few examples. Can we remove the definite articles marked boldly?

However, the identification of relevant covariates needed in modelling can often be challenging.

These allow transparent dealing with confounding bias by enabling the controlling of causal assumptions.

The provided code allows the full production of our findings.

In your examples, identification; controlling, and production are, in their respective contexts, all uncountable nouns: they therefore do not require a determiner.

However, there is a tendency with uncountable nouns to use an optional determiner when the uncountable noun is defined:

identification is defined by of relevant covariates;

controlling is defined by of causal assumptions

and

production is defined by of our findings

Hence the the.

You will note that defining the noun makes it specific, thus licensing “the”.

Another “However”:

The “of” is not unique in its ability to define. All the “of” phrases above are adjuncts – preposition + noun phrase/clause, gerund, pronoun, etc. These act as modifiers. In your example they are adjectival modifiers.