The phrase "accepts this conclusion" is correct and usable in written English.
You can use it when indicating that someone agrees with or acknowledges a particular conclusion drawn from evidence or reasoning.
Example: "After reviewing the data, the committee accepts this conclusion as valid and actionable."
Alternatives: "agrees with this conclusion" or "acknowledges this conclusion."
"I don't know what evidence they have to make this official announcement, and I don't know why they have chosen this timing... Without proper evidence, I would not accept this conclusion".
Though not all astronomers accepted this conclusion at first, it was confirmed in the mid-1960s when the first robotic spacecraft soft-landed and sank only a few centimetres instead of disappearing completely into the regolith.
Widgery 2.30: "It is understandable that these circumstances have given rise to suspicion that the CO 1 Para [Colonel Wilford] exceeded his orders, but I do not accept this conclusion in the face of the sworn evidence of the three officers concerned".
While accepting this conclusion, the paper argues that, in order to construct a more realistic landscape of indicators to inform copyright policy makers, the economic case of copyright needs to be broadened to include not only the direct producers of the work in its material form, but also the producers of the meaning and value of the work (the overall perception of its "quality").
To accept this conclusion, however, would introduce numerous complications into any theory of whether and how God reveals future contingents, and lead to untenable consequences (Tachau 2013: 93).
If the courts decide that Theseus 2 is the "real" descendant of Theseus 1, then we will have to accept this conclusion for all practical purposes.
Even if we are willing to accept this conclusion, the non-interference view of liberty commits us to others that are perhaps even more paradoxical.
But one could equally well accept this conclusion, emphasize that the reason here is greatly outweighed, and appeal to the pragmatics of reasons discourse to explain why it sounds odd to say there is such a reason (Schroeder 2005a).
More than that, Glaucon and Adeimantus want to be shown that justice is worth choosing regardless of the rewards or penalties bestowed on the just by other people and the gods, and they will accept this conclusion only if Socrates can convince them that it is always better to be just.
As noted above, unless the hidden structure argument is accepted, this conclusion is strongly suggested by examples like (2.4.1) ("The impact of my knee caused the tipping over of the inkwell") which appear to involve explanation without the explicit citing of a law or a deductive structure.
