The phrase "at their undertaking" is correct and usable in written English.
It can be used to refer to the actions or projects that individuals or groups have committed to or are engaged in.
Example: "The committee expressed their support for the volunteers at their undertaking to clean up the local park."
Alternatives: "in their efforts" or "during their project".
At noon on Wednesday, Mr. Fisher and Mr. James did seem a bit in awe at their undertaking.
O'Brien turns repeatedly to these men in his poems, sometimes in admiration at their undertaking ("Re-edify me, drains," implores the speaker of "Drains", "Give me again/ The under-city's grand designs"), sometimes in anxious awareness of the industrial revolution's negative consequences.
Even chefs who never peel favas at their restaurants happily undertake the task at home -- albeit in much smaller quantities.
Finally, from June to August we considered that all ring recoveries corresponded to birds at their breeding sites or undertaking fall migration.
The bishops created the post as part of an emergency effort undertaken at their meeting in Dallas last June to restore trust in the episcopacy after months of revelations that some bishops had reassigned priests accused of molestation to work in parishes and ministries.
Work that they undertook at their discretion was seen as helping the community and improving their social status.
The latter two groups, who are notoriously time-poor, might be attracted to well-packaged formative assessments which they could undertake at their convenience.
Participants will undertake a twice weekly, 8-week outpatient group-based supervised program, with individually prescribed exercise training and self-management education, to be undertaken at their site of recruitment.
SEA-ORCHID team members reported every two months on the activities undertaken at their hospital by completing activity statements which were then uploaded to the SEA-ORCHID website http://www.seaorchid.org to give a cumulative summary of all activities undertaken during the project.
"And we condemn it". As American officials around the globe prepared last week for a deluge of leaked cables from the Web site WikiLeaks that could expose them at their least statesmanlike, they also undertook an acutely delicate diplomatic task: cushioning the blow with key friends and rivals.
These animals can then either be transported to island sanctuaries, or heightened predator management can be undertaken directly at their habitats.
