The phrase "on the same vein" is correct and usable in written English.
It is typically used to indicate that something is similar or related to the previous topic or idea. Example: "The speaker discussed the importance of education, and on the same vein, emphasized the need for lifelong learning."
On the same vein, González-López et al. [38] found that increased strain was associated with a proinflammatory lung response in patients with acute lung injury.
On the same vein, in a telephone interview he said he was "cautiously optimistic" about outside factors, but that it was too early to call the April strength a sustainable trend.
On the same vein, the example of Italian industrial districts shows how trust, relationships and social capital enhanced a form of cooperation competition (Dei Ottati 2004), which represents a particularly efficient and innovative behavior of economic and institutional actors (Porter 1990).
On the same vein, Buller and Rossi (1993) showed that some antigens could still be localized, with immunohistochemical methods, after Golgi-Cox fixation.
It is worth noting that the application of our experimental protocols to recessive yellow e/e mice did not produce cellular responses different from those observed in WT animals; on the same vein, no differences in local and systemic mediator generation were observed between the animals bearing an inactive MC1R mutant and WT mice.
One thing I know for sure is there is no possible way that any sector can carry on in the same vein".
Miliband said he would listen to advice, but "continuity Labour" was not an option and the party could not carry on in the same vein as the last government.
"The way the players and fans have responded to me in these seven weeks has been magnificent and if we carry on in the same vein it can only be good for Wycombe Wanderers".
"I don't think we could just carry on in the same vein and that decision I reached was I would step down as team manager of Shrewsbury Town".
Having taken over from Steve Bruce with Sunderland in a similar position, O'Neill made an instant impact and appeared to have turned things around, but the end of the campaign was tough and they have carried on in the same vein this season.
"But as long as I believe in what I'm doing, I'll carry on in the same vein".
