The phrase "are in fact consistent" is correct and usable in written English.
It can be used to emphasize that something is indeed consistent or aligns with a previously stated idea or fact.
Example: "The results of the study are in fact consistent with our initial hypothesis, confirming our predictions."
Alternatives: "are indeed consistent" or "are actually consistent".
So these beliefs are in fact consistent with behavior, so we're okay.
These rich rooms are in fact consistent with Loos's theories of ornament, as they use the inherent patterns of natural materials rather than decoration contrived by man.
Although the national polls alone are in fact consistent with a nearly tied race, the state polls are more consistent with a race in which Mr. Obama still holds a very modest lead.
Some key attributes associated with Asian culture are in fact consistent with, and aligned to, some of the basic tenets of PBL, including the congruence between the Asian emphasis on group before individual interest, and the collaborative small group learning design used in PBL.
The results of the present study are, in fact, consistent with limited evidence on information sharing between preschool and elementary school teachers.
My results are in fact consistent with both studies: at the macroeconomic level, I also find that total factor productivity increased in the medium-run (as in Peri), even though there is no evidence of increased labor productivity at the firm or the industry level (as in Quispe-Agnoli and Zavodny).
We show here that the steady 2005-2017 decrease of NOx emissions reported by the NEI is in fact consistent with observed network trends of surface NO2 and ozone concentrations.
Our holding in the case sub judice is, in fact, consistent with the rationale underlying such rulings, and we affirm our previous recognition that where a special and narrowly defined relationship can be established between the tortfeasor and a plaintiff who was deprived of an economic benefit, the tortfeasor can be held liable.
An observed phase difference is, in fact, consistent with a large set of discrete altitudes, but in practice such radio altimeters are used in connection with instrument landing systems for measuring altitude and rate of descent during the last few seconds before touchdown.
But some theorists have argued that the parity claim, which is so important to the liberal critics, is in fact consistent with a version of the DRR.
Pissarro's adoption of neo-impressionism, often considered an aberrant move, was in fact consistent with a larger pattern of rupture and discontinuity in his career, and a sign of his responsiveness to the changing social connotations of artistic language.
