Why does rebuilding an SDL Trados Studio API based Project in Visual Studio cause certain dependencies to be lost?

An unhandled exception of type 'System.IO.FileNotFoundException' occurred in Sdl.ProjectApi.dll

Additional information: Could not load file or assembly 'Sdl.Terminology.TerminologyProvider.Core, Version=12.0.0.0, Culture=neutral, PublicKeyToken=c28cdb26c445c888' or one of its dependencies. The system cannot find the file specified.

This error occured after rebuilding a project which requires dependencies from Trados such as

Assembly Sdl.ProjectApi
C:\Program Files (x86)\SDL\SDL Trados Studio\Studio4\Sdl.ProjectApi.dll

which is found in the object browser.

The error occurs on the line

FileBasedProject trados_project = new FileBasedProject(this.GetInfoForTemplateProject(localProjectFolder), template);

Before rebuilding the project, it was running properly.

at Sdl.ProjectApi.Implementation.Factory.CreateApplication()
at Sdl.ProjectApi.ApplicationFactory.CreateApplication()
at Sdl.ProjectAutomation.FileBased.ProjectAutomationContext.GetProjectServer(ProjectCredentials projectCredentials)
at Sdl.ProjectAutomation.FileBased.FileBasedProject..ctor(ProjectInfo projectInfo, ProjectTemplateReference templateReference)
at AutomatePreTranslate.PreTranslatorMFL.CreateBasedOnTemplate(String localProjectFolder) in c:\Program Files (x86)\SDL\SDL Trados Studio\Studio4\PreTranslatorMFL.cs:line 62
at AutomatePreTranslate.PreTranslatorMFL.Create(String toBeTranslatedFolder, String tmFile, Boolean recursion, Boolean reportCrossFileRepetitions, Boolean reportInternalFuzzyMatchLeverage, Boolean keepProjectFiles, AutomateSettings s) in c:\Program Files (x86)\SDL\SDL Trados Studio\Studio4\PreTranslatorMFL.cs:line 125
at AutomatePreTranslate.PreTranslatorMFL.Create(AutomateSettings s) in c:\Program Files (x86)\SDL\SDL Trados Studio\Studio4\PreTranslatorMFL.cs:line 28
at AutomatePreTranslate.Initialize.executePreTranslate(AutomateSettings s) in c:\Program Files (x86)\SDL\SDL Trados Studio\Studio4\Initialize.cs:line 57
at AutomatePreTranslate.Initialize.Main(String[] args) in c:\Program Files (x86)\SDL\SDL Trados Studio\Studio4\Initialize.cs:line 48
at System.AppDomain._nExecuteAssembly(RuntimeAssembly assembly, String[] args)
at System.AppDomain.ExecuteAssembly(String assemblyFile, Evidence assemblySecurity, String[] args)
at Microsoft.VisualStudio.HostingProcess.HostProc.RunUsersAssembly()
at System.Threading.ThreadHelper.ThreadStart_Context(Object state)
at System.Threading.ExecutionContext.RunInternal(ExecutionContext executionContext, ContextCallback callback, Object state, Boolean preserveSyncCtx)
at System.Threading.ExecutionContext.Run(ExecutionContext executionContext, ContextCallback callback, Object state, Boolean preserveSyncCtx)
at System.Threading.ExecutionContext.Run(ExecutionContext executionContext, ContextCallback callback, Object state)
at System.Threading.ThreadHelper.ThreadStart()